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Finding the Third Proportional to 29,142 and 44,060

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Solution

The third proportional to 29,142 and 44,060 is: 66,614.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,142 : 44,060 = 44,060 : x
  2. Step 2: Convert to fraction form
    29,142/44,060 = 44,060/x
  3. Step 3: Cross multiply
    29,142x = 44,060 × 44,060
  4. Step 4: Simplify right side
    29,142x = 1,941,283,600
  5. Step 5: Solve for x
    x = 1,941,283,600/29,142
  6. Step 6: Final answer
    x = 66,614.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.