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Finding the Third Proportional to 32,900.25 and 46,889.75

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Solution

The third proportional to 32,900.25 and 46,889.75 is: 66,827.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,900.25 : 46,889.75 = 46,889.75 : x
  2. Step 2: Convert to fraction form
    32,900.25/46,889.75 = 46,889.75/x
  3. Step 3: Cross multiply
    32,900.25x = 46,889.75 × 46,889.75
  4. Step 4: Simplify right side
    32,900.25x = 2,198,648,655.06
  5. Step 5: Solve for x
    x = 2,198,648,655.06/32,900.25
  6. Step 6: Final answer
    x = 66,827.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.