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Finding the Third Proportional to 8,671 and 13,961

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Solution

The third proportional to 8,671 and 13,961 is: 22,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,671 : 13,961 = 13,961 : x
  2. Step 2: Convert to fraction form
    8,671/13,961 = 13,961/x
  3. Step 3: Cross multiply
    8,671x = 13,961 × 13,961
  4. Step 4: Simplify right side
    8,671x = 194,909,521
  5. Step 5: Solve for x
    x = 194,909,521/8,671
  6. Step 6: Final answer
    x = 22,478.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.