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Finding the Third Proportional to 32,224.08 and 46,849.64

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Solution

The third proportional to 32,224.08 and 46,849.64 is: 68,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,224.08 : 46,849.64 = 46,849.64 : x
  2. Step 2: Convert to fraction form
    32,224.08/46,849.64 = 46,849.64/x
  3. Step 3: Cross multiply
    32,224.08x = 46,849.64 × 46,849.64
  4. Step 4: Simplify right side
    32,224.08x = 2,194,888,826.69
  5. Step 5: Solve for x
    x = 2,194,888,826.69/32,224.08
  6. Step 6: Final answer
    x = 68,113.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.