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Finding the Third Proportional to 25,921 and 55,527

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Solution

The third proportional to 25,921 and 55,527 is: 118,947.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 55,527 = 55,527 : x
  2. Step 2: Convert to fraction form
    25,921/55,527 = 55,527/x
  3. Step 3: Cross multiply
    25,921x = 55,527 × 55,527
  4. Step 4: Simplify right side
    25,921x = 3,083,247,729
  5. Step 5: Solve for x
    x = 3,083,247,729/25,921
  6. Step 6: Final answer
    x = 118,947.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.