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Finding the Third Proportional to 12,416 and 18,344

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Solution

The third proportional to 12,416 and 18,344 is: 27,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416 : 18,344 = 18,344 : x
  2. Step 2: Convert to fraction form
    12,416/18,344 = 18,344/x
  3. Step 3: Cross multiply
    12,416x = 18,344 × 18,344
  4. Step 4: Simplify right side
    12,416x = 336,502,336
  5. Step 5: Solve for x
    x = 336,502,336/12,416
  6. Step 6: Final answer
    x = 27,102.31

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.