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Finding the Third Proportional to 25,342.50 and 58,661.25

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Solution

The third proportional to 25,342.50 and 58,661.25 is: 135,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,342.50 : 58,661.25 = 58,661.25 : x
  2. Step 2: Convert to fraction form
    25,342.50/58,661.25 = 58,661.25/x
  3. Step 3: Cross multiply
    25,342.50x = 58,661.25 × 58,661.25
  4. Step 4: Simplify right side
    25,342.50x = 3,441,142,251.56
  5. Step 5: Solve for x
    x = 3,441,142,251.56/25,342.50
  6. Step 6: Final answer
    x = 135,785.43

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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.