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Finding the Third Proportional to 13,932 and 20,432.25

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Solution

The third proportional to 13,932 and 20,432.25 is: 29,965.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,932 : 20,432.25 = 20,432.25 : x
  2. Step 2: Convert to fraction form
    13,932/20,432.25 = 20,432.25/x
  3. Step 3: Cross multiply
    13,932x = 20,432.25 × 20,432.25
  4. Step 4: Simplify right side
    13,932x = 417,476,840.06
  5. Step 5: Solve for x
    x = 417,476,840.06/13,932
  6. Step 6: Final answer
    x = 29,965.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.