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Finding the Third Proportional to 48,769 and 66,241

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Solution

The third proportional to 48,769 and 66,241 is: 89,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,769 : 66,241 = 66,241 : x
  2. Step 2: Convert to fraction form
    48,769/66,241 = 66,241/x
  3. Step 3: Cross multiply
    48,769x = 66,241 × 66,241
  4. Step 4: Simplify right side
    48,769x = 4,387,870,081
  5. Step 5: Solve for x
    x = 4,387,870,081/48,769
  6. Step 6: Final answer
    x = 89,972.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.