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Finding the Third Proportional to 25,791 and 55,791

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Solution

The third proportional to 25,791 and 55,791 is: 120,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791 : 55,791 = 55,791 : x
  2. Step 2: Convert to fraction form
    25,791/55,791 = 55,791/x
  3. Step 3: Cross multiply
    25,791x = 55,791 × 55,791
  4. Step 4: Simplify right side
    25,791x = 3,112,635,681
  5. Step 5: Solve for x
    x = 3,112,635,681/25,791
  6. Step 6: Final answer
    x = 120,686.89

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.