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Finding the Third Proportional to 16,416 and 36,352

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Solution

The third proportional to 16,416 and 36,352 is: 80,498.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,416 : 36,352 = 36,352 : x
  2. Step 2: Convert to fraction form
    16,416/36,352 = 36,352/x
  3. Step 3: Cross multiply
    16,416x = 36,352 × 36,352
  4. Step 4: Simplify right side
    16,416x = 1,321,467,904
  5. Step 5: Solve for x
    x = 1,321,467,904/16,416
  6. Step 6: Final answer
    x = 80,498.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.