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Finding the Third Proportional to 38,982.52 and 61,972.59

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Solution

The third proportional to 38,982.52 and 61,972.59 is: 98,521.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,982.52 : 61,972.59 = 61,972.59 : x
  2. Step 2: Convert to fraction form
    38,982.52/61,972.59 = 61,972.59/x
  3. Step 3: Cross multiply
    38,982.52x = 61,972.59 × 61,972.59
  4. Step 4: Simplify right side
    38,982.52x = 3,840,602,376.10
  5. Step 5: Solve for x
    x = 3,840,602,376.10/38,982.52
  6. Step 6: Final answer
    x = 98,521.15

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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.