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Finding the Third Proportional to 15,534 and 24,489

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Solution

The third proportional to 15,534 and 24,489 is: 38,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534 : 24,489 = 24,489 : x
  2. Step 2: Convert to fraction form
    15,534/24,489 = 24,489/x
  3. Step 3: Cross multiply
    15,534x = 24,489 × 24,489
  4. Step 4: Simplify right side
    15,534x = 599,711,121
  5. Step 5: Solve for x
    x = 599,711,121/15,534
  6. Step 6: Final answer
    x = 38,606.36

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.