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Finding the Third Proportional to 49,396.50 and 76,599

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Solution

The third proportional to 49,396.50 and 76,599 is: 118,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,396.50 : 76,599 = 76,599 : x
  2. Step 2: Convert to fraction form
    49,396.50/76,599 = 76,599/x
  3. Step 3: Cross multiply
    49,396.50x = 76,599 × 76,599
  4. Step 4: Simplify right side
    49,396.50x = 5,867,406,801
  5. Step 5: Solve for x
    x = 5,867,406,801/49,396.50
  6. Step 6: Final answer
    x = 118,781.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.