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Finding the Third Proportional to 38,790 and 61,519

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Solution

The third proportional to 38,790 and 61,519 is: 97,566.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,790 : 61,519 = 61,519 : x
  2. Step 2: Convert to fraction form
    38,790/61,519 = 61,519/x
  3. Step 3: Cross multiply
    38,790x = 61,519 × 61,519
  4. Step 4: Simplify right side
    38,790x = 3,784,587,361
  5. Step 5: Solve for x
    x = 3,784,587,361/38,790
  6. Step 6: Final answer
    x = 97,566.06

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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.