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Finding the Third Proportional to 42,257.25 and 63,253.69

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Solution

The third proportional to 42,257.25 and 63,253.69 is: 94,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,257.25 : 63,253.69 = 63,253.69 : x
  2. Step 2: Convert to fraction form
    42,257.25/63,253.69 = 63,253.69/x
  3. Step 3: Cross multiply
    42,257.25x = 63,253.69 × 63,253.69
  4. Step 4: Simplify right side
    42,257.25x = 4,001,028,982.35
  5. Step 5: Solve for x
    x = 4,001,028,982.35/42,257.25
  6. Step 6: Final answer
    x = 94,682.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.