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Finding the Third Proportional to 10,974 and 16,681

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Solution

The third proportional to 10,974 and 16,681 is: 25,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,974 : 16,681 = 16,681 : x
  2. Step 2: Convert to fraction form
    10,974/16,681 = 16,681/x
  3. Step 3: Cross multiply
    10,974x = 16,681 × 16,681
  4. Step 4: Simplify right side
    10,974x = 278,255,761
  5. Step 5: Solve for x
    x = 278,255,761/10,974
  6. Step 6: Final answer
    x = 25,355.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.