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Finding the Third Proportional to 25,327 and 58,634

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Solution

The third proportional to 25,327 and 58,634 is: 135,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,327 : 58,634 = 58,634 : x
  2. Step 2: Convert to fraction form
    25,327/58,634 = 58,634/x
  3. Step 3: Cross multiply
    25,327x = 58,634 × 58,634
  4. Step 4: Simplify right side
    25,327x = 3,437,945,956
  5. Step 5: Solve for x
    x = 3,437,945,956/25,327
  6. Step 6: Final answer
    x = 135,742.33

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.