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Finding the Third Proportional to 25,921 and 55,526

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Solution

The third proportional to 25,921 and 55,526 is: 118,943.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921 : 55,526 = 55,526 : x
  2. Step 2: Convert to fraction form
    25,921/55,526 = 55,526/x
  3. Step 3: Cross multiply
    25,921x = 55,526 × 55,526
  4. Step 4: Simplify right side
    25,921x = 3,083,136,676
  5. Step 5: Solve for x
    x = 3,083,136,676/25,921
  6. Step 6: Final answer
    x = 118,943.59

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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.