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Finding the Third Proportional to 31,374 and 43,974

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Solution

The third proportional to 31,374 and 43,974 is: 61,634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374 : 43,974 = 43,974 : x
  2. Step 2: Convert to fraction form
    31,374/43,974 = 43,974/x
  3. Step 3: Cross multiply
    31,374x = 43,974 × 43,974
  4. Step 4: Simplify right side
    31,374x = 1,933,712,676
  5. Step 5: Solve for x
    x = 1,933,712,676/31,374
  6. Step 6: Final answer
    x = 61,634.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.