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Finding the Third Proportional to 61,053.75 and 80,463.38

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Solution

The third proportional to 61,053.75 and 80,463.38 is: 106,043.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,053.75 : 80,463.38 = 80,463.38 : x
  2. Step 2: Convert to fraction form
    61,053.75/80,463.38 = 80,463.38/x
  3. Step 3: Cross multiply
    61,053.75x = 80,463.38 × 80,463.38
  4. Step 4: Simplify right side
    61,053.75x = 6,474,354,716.39
  5. Step 5: Solve for x
    x = 6,474,354,716.39/61,053.75
  6. Step 6: Final answer
    x = 106,043.52

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.