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Finding the Third Proportional to 29,734.59 and 40,363.31

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Solution

The third proportional to 29,734.59 and 40,363.31 is: 54,791.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,734.59 : 40,363.31 = 40,363.31 : x
  2. Step 2: Convert to fraction form
    29,734.59/40,363.31 = 40,363.31/x
  3. Step 3: Cross multiply
    29,734.59x = 40,363.31 × 40,363.31
  4. Step 4: Simplify right side
    29,734.59x = 1,629,196,995.97
  5. Step 5: Solve for x
    x = 1,629,196,995.97/29,734.59
  6. Step 6: Final answer
    x = 54,791.30

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.