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Finding the Third Proportional to 39,757.50 and 56,180.25

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Solution

The third proportional to 39,757.50 and 56,180.25 is: 79,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,757.50 : 56,180.25 = 56,180.25 : x
  2. Step 2: Convert to fraction form
    39,757.50/56,180.25 = 56,180.25/x
  3. Step 3: Cross multiply
    39,757.50x = 56,180.25 × 56,180.25
  4. Step 4: Simplify right side
    39,757.50x = 3,156,220,490.06
  5. Step 5: Solve for x
    x = 3,156,220,490.06/39,757.50
  6. Step 6: Final answer
    x = 79,386.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.