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Finding the Third Proportional to 24,302 and 38,650

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Solution

The third proportional to 24,302 and 38,650 is: 61,469.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302 : 38,650 = 38,650 : x
  2. Step 2: Convert to fraction form
    24,302/38,650 = 38,650/x
  3. Step 3: Cross multiply
    24,302x = 38,650 × 38,650
  4. Step 4: Simplify right side
    24,302x = 1,493,822,500
  5. Step 5: Solve for x
    x = 1,493,822,500/24,302
  6. Step 6: Final answer
    x = 61,469.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.