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Finding the Third Proportional to 49,427 and 76,598

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Solution

The third proportional to 49,427 and 76,598 is: 118,705.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,427 : 76,598 = 76,598 : x
  2. Step 2: Convert to fraction form
    49,427/76,598 = 76,598/x
  3. Step 3: Cross multiply
    49,427x = 76,598 × 76,598
  4. Step 4: Simplify right side
    49,427x = 5,867,253,604
  5. Step 5: Solve for x
    x = 5,867,253,604/49,427
  6. Step 6: Final answer
    x = 118,705.44

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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.