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Finding the Third Proportional to 49,497 and 76,587

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Solution

The third proportional to 49,497 and 76,587 is: 118,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,497 : 76,587 = 76,587 : x
  2. Step 2: Convert to fraction form
    49,497/76,587 = 76,587/x
  3. Step 3: Cross multiply
    49,497x = 76,587 × 76,587
  4. Step 4: Simplify right side
    49,497x = 5,865,568,569
  5. Step 5: Solve for x
    x = 5,865,568,569/49,497
  6. Step 6: Final answer
    x = 118,503.52

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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.