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Finding the Third Proportional to 13,972 and 17,714

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Solution

The third proportional to 13,972 and 17,714 is: 22,458.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972 : 17,714 = 17,714 : x
  2. Step 2: Convert to fraction form
    13,972/17,714 = 17,714/x
  3. Step 3: Cross multiply
    13,972x = 17,714 × 17,714
  4. Step 4: Simplify right side
    13,972x = 313,785,796
  5. Step 5: Solve for x
    x = 313,785,796/13,972
  6. Step 6: Final answer
    x = 22,458.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.