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Finding the Third Proportional to 29,158.31 and 43,729.88

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Solution

The third proportional to 29,158.31 and 43,729.88 is: 65,583.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,158.31 : 43,729.88 = 43,729.88 : x
  2. Step 2: Convert to fraction form
    29,158.31/43,729.88 = 43,729.88/x
  3. Step 3: Cross multiply
    29,158.31x = 43,729.88 × 43,729.88
  4. Step 4: Simplify right side
    29,158.31x = 1,912,301,967.52
  5. Step 5: Solve for x
    x = 1,912,301,967.52/29,158.31
  6. Step 6: Final answer
    x = 65,583.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.