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Finding the Third Proportional to 17,416 and 38,352

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Solution

The third proportional to 17,416 and 38,352 is: 84,455.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416 : 38,352 = 38,352 : x
  2. Step 2: Convert to fraction form
    17,416/38,352 = 38,352/x
  3. Step 3: Cross multiply
    17,416x = 38,352 × 38,352
  4. Step 4: Simplify right side
    17,416x = 1,470,875,904
  5. Step 5: Solve for x
    x = 1,470,875,904/17,416
  6. Step 6: Final answer
    x = 84,455.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.