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Finding the Third Proportional to 25,110 and 55,727

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Solution

The third proportional to 25,110 and 55,727 is: 123,675.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,110 : 55,727 = 55,727 : x
  2. Step 2: Convert to fraction form
    25,110/55,727 = 55,727/x
  3. Step 3: Cross multiply
    25,110x = 55,727 × 55,727
  4. Step 4: Simplify right side
    25,110x = 3,105,498,529
  5. Step 5: Solve for x
    x = 3,105,498,529/25,110
  6. Step 6: Final answer
    x = 123,675.77

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.