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Finding the Third Proportional to 14,416 and 31,279

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Solution

The third proportional to 14,416 and 31,279 is: 67,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416 : 31,279 = 31,279 : x
  2. Step 2: Convert to fraction form
    14,416/31,279 = 31,279/x
  3. Step 3: Cross multiply
    14,416x = 31,279 × 31,279
  4. Step 4: Simplify right side
    14,416x = 978,375,841
  5. Step 5: Solve for x
    x = 978,375,841/14,416
  6. Step 6: Final answer
    x = 67,867.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.