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Finding the Third Proportional to 39,646.50 and 54,366.75

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Solution

The third proportional to 39,646.50 and 54,366.75 is: 74,552.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,646.50 : 54,366.75 = 54,366.75 : x
  2. Step 2: Convert to fraction form
    39,646.50/54,366.75 = 54,366.75/x
  3. Step 3: Cross multiply
    39,646.50x = 54,366.75 × 54,366.75
  4. Step 4: Simplify right side
    39,646.50x = 2,955,743,505.56
  5. Step 5: Solve for x
    x = 2,955,743,505.56/39,646.50
  6. Step 6: Final answer
    x = 74,552.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.