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Finding the Third Proportional to 38,603.25 and 58,654.13

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Solution

The third proportional to 38,603.25 and 58,654.13 is: 89,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,603.25 : 58,654.13 = 58,654.13 : x
  2. Step 2: Convert to fraction form
    38,603.25/58,654.13 = 58,654.13/x
  3. Step 3: Cross multiply
    38,603.25x = 58,654.13 × 58,654.13
  4. Step 4: Simplify right side
    38,603.25x = 3,440,306,379.52
  5. Step 5: Solve for x
    x = 3,440,306,379.52/38,603.25
  6. Step 6: Final answer
    x = 89,119.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.