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Finding the Third Proportional to 48,997.13 and 73,306.13

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Solution

The third proportional to 48,997.13 and 73,306.13 is: 109,675.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,997.13 : 73,306.13 = 73,306.13 : x
  2. Step 2: Convert to fraction form
    48,997.13/73,306.13 = 73,306.13/x
  3. Step 3: Cross multiply
    48,997.13x = 73,306.13 × 73,306.13
  4. Step 4: Simplify right side
    48,997.13x = 5,373,787,962.52
  5. Step 5: Solve for x
    x = 5,373,787,962.52/48,997.13
  6. Step 6: Final answer
    x = 109,675.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.