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Finding the Third Proportional to 48,944.50 and 77,792.75

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Solution

The third proportional to 48,944.50 and 77,792.75 is: 123,644.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,944.50 : 77,792.75 = 77,792.75 : x
  2. Step 2: Convert to fraction form
    48,944.50/77,792.75 = 77,792.75/x
  3. Step 3: Cross multiply
    48,944.50x = 77,792.75 × 77,792.75
  4. Step 4: Simplify right side
    48,944.50x = 6,051,711,952.56
  5. Step 5: Solve for x
    x = 6,051,711,952.56/48,944.50
  6. Step 6: Final answer
    x = 123,644.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.