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Finding the Third Proportional to 29,548.13 and 67,743

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Solution

The third proportional to 29,548.13 and 67,743 is: 155,309.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,548.13 : 67,743 = 67,743 : x
  2. Step 2: Convert to fraction form
    29,548.13/67,743 = 67,743/x
  3. Step 3: Cross multiply
    29,548.13x = 67,743 × 67,743
  4. Step 4: Simplify right side
    29,548.13x = 4,589,114,049
  5. Step 5: Solve for x
    x = 4,589,114,049/29,548.13
  6. Step 6: Final answer
    x = 155,309.82

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.