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Finding the Third Proportional to 29,150 and 43,731

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Solution

The third proportional to 29,150 and 43,731 is: 65,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,150 : 43,731 = 43,731 : x
  2. Step 2: Convert to fraction form
    29,150/43,731 = 43,731/x
  3. Step 3: Cross multiply
    29,150x = 43,731 × 43,731
  4. Step 4: Simplify right side
    29,150x = 1,912,400,361
  5. Step 5: Solve for x
    x = 1,912,400,361/29,150
  6. Step 6: Final answer
    x = 65,605.50

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Why These Related Problems?

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