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Finding the Third Proportional to 25,334.25 and 58,642.73

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Solution

The third proportional to 25,334.25 and 58,642.73 is: 135,743.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334.25 : 58,642.73 = 58,642.73 : x
  2. Step 2: Convert to fraction form
    25,334.25/58,642.73 = 58,642.73/x
  3. Step 3: Cross multiply
    25,334.25x = 58,642.73 × 58,642.73
  4. Step 4: Simplify right side
    25,334.25x = 3,438,970,294.98
  5. Step 5: Solve for x
    x = 3,438,970,294.98/25,334.25
  6. Step 6: Final answer
    x = 135,743.92

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.