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Finding the Third Proportional to 55,046.50 and 76,593.50

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Solution

The third proportional to 55,046.50 and 76,593.50 is: 106,574.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,046.50 : 76,593.50 = 76,593.50 : x
  2. Step 2: Convert to fraction form
    55,046.50/76,593.50 = 76,593.50/x
  3. Step 3: Cross multiply
    55,046.50x = 76,593.50 × 76,593.50
  4. Step 4: Simplify right side
    55,046.50x = 5,866,564,242.25
  5. Step 5: Solve for x
    x = 5,866,564,242.25/55,046.50
  6. Step 6: Final answer
    x = 106,574.70

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.