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Finding the Third Proportional to 17,756 and 27,610

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Solution

The third proportional to 17,756 and 27,610 is: 42,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,756 : 27,610 = 27,610 : x
  2. Step 2: Convert to fraction form
    17,756/27,610 = 27,610/x
  3. Step 3: Cross multiply
    17,756x = 27,610 × 27,610
  4. Step 4: Simplify right side
    17,756x = 762,312,100
  5. Step 5: Solve for x
    x = 762,312,100/17,756
  6. Step 6: Final answer
    x = 42,932.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.