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Finding the Third Proportional to 29,373 and 43,931

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Solution

The third proportional to 29,373 and 43,931 is: 65,704.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,373 : 43,931 = 43,931 : x
  2. Step 2: Convert to fraction form
    29,373/43,931 = 43,931/x
  3. Step 3: Cross multiply
    29,373x = 43,931 × 43,931
  4. Step 4: Simplify right side
    29,373x = 1,929,932,761
  5. Step 5: Solve for x
    x = 1,929,932,761/29,373
  6. Step 6: Final answer
    x = 65,704.31

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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.