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Finding the Third Proportional to 32,042.25 and 67,776.75

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Solution

The third proportional to 32,042.25 and 67,776.75 is: 143,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,042.25 : 67,776.75 = 67,776.75 : x
  2. Step 2: Convert to fraction form
    32,042.25/67,776.75 = 67,776.75/x
  3. Step 3: Cross multiply
    32,042.25x = 67,776.75 × 67,776.75
  4. Step 4: Simplify right side
    32,042.25x = 4,593,687,840.56
  5. Step 5: Solve for x
    x = 4,593,687,840.56/32,042.25
  6. Step 6: Final answer
    x = 143,363.46

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.