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Finding the Third Proportional to 17,406 and 36,882

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Solution

The third proportional to 17,406 and 36,882 is: 78,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,406 : 36,882 = 36,882 : x
  2. Step 2: Convert to fraction form
    17,406/36,882 = 36,882/x
  3. Step 3: Cross multiply
    17,406x = 36,882 × 36,882
  4. Step 4: Simplify right side
    17,406x = 1,360,281,924
  5. Step 5: Solve for x
    x = 1,360,281,924/17,406
  6. Step 6: Final answer
    x = 78,150.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.