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Finding the Third Proportional to 19,416 and 41,599

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Solution

The third proportional to 19,416 and 41,599 is: 89,126.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,416 : 41,599 = 41,599 : x
  2. Step 2: Convert to fraction form
    19,416/41,599 = 41,599/x
  3. Step 3: Cross multiply
    19,416x = 41,599 × 41,599
  4. Step 4: Simplify right side
    19,416x = 1,730,476,801
  5. Step 5: Solve for x
    x = 1,730,476,801/19,416
  6. Step 6: Final answer
    x = 89,126.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.