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Finding the Third Proportional to 38,767 and 61,487

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Solution

The third proportional to 38,767 and 61,487 is: 97,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,767 : 61,487 = 61,487 : x
  2. Step 2: Convert to fraction form
    38,767/61,487 = 61,487/x
  3. Step 3: Cross multiply
    38,767x = 61,487 × 61,487
  4. Step 4: Simplify right side
    38,767x = 3,780,651,169
  5. Step 5: Solve for x
    x = 3,780,651,169/38,767
  6. Step 6: Final answer
    x = 97,522.41

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