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Finding the Third Proportional to 29,134 and 43,943

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Solution

The third proportional to 29,134 and 43,943 is: 66,279.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134 : 43,943 = 43,943 : x
  2. Step 2: Convert to fraction form
    29,134/43,943 = 43,943/x
  3. Step 3: Cross multiply
    29,134x = 43,943 × 43,943
  4. Step 4: Simplify right side
    29,134x = 1,930,987,249
  5. Step 5: Solve for x
    x = 1,930,987,249/29,134
  6. Step 6: Final answer
    x = 66,279.51

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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.