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Finding the Third Proportional to 5,933.63 and 9,224.44

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Solution

The third proportional to 5,933.63 and 9,224.44 is: 14,340.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,933.63 : 9,224.44 = 9,224.44 : x
  2. Step 2: Convert to fraction form
    5,933.63/9,224.44 = 9,224.44/x
  3. Step 3: Cross multiply
    5,933.63x = 9,224.44 × 9,224.44
  4. Step 4: Simplify right side
    5,933.63x = 85,090,247.19
  5. Step 5: Solve for x
    x = 85,090,247.19/5,933.63
  6. Step 6: Final answer
    x = 14,340.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.