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Finding the Third Proportional to 17,409 and 40,677

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Solution

The third proportional to 17,409 and 40,677 is: 95,043.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,409 : 40,677 = 40,677 : x
  2. Step 2: Convert to fraction form
    17,409/40,677 = 40,677/x
  3. Step 3: Cross multiply
    17,409x = 40,677 × 40,677
  4. Step 4: Simplify right side
    17,409x = 1,654,618,329
  5. Step 5: Solve for x
    x = 1,654,618,329/17,409
  6. Step 6: Final answer
    x = 95,043.85

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.