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Finding the Third Proportional to 29,131.88 and 42,734.25

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Solution

The third proportional to 29,131.88 and 42,734.25 is: 62,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,131.88 : 42,734.25 = 42,734.25 : x
  2. Step 2: Convert to fraction form
    29,131.88/42,734.25 = 42,734.25/x
  3. Step 3: Cross multiply
    29,131.88x = 42,734.25 × 42,734.25
  4. Step 4: Simplify right side
    29,131.88x = 1,826,216,123.06
  5. Step 5: Solve for x
    x = 1,826,216,123.06/29,131.88
  6. Step 6: Final answer
    x = 62,687.90

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.