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Finding the Third Proportional to 8,120 and 17,744

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Solution

The third proportional to 8,120 and 17,744 is: 38,774.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120 : 17,744 = 17,744 : x
  2. Step 2: Convert to fraction form
    8,120/17,744 = 17,744/x
  3. Step 3: Cross multiply
    8,120x = 17,744 × 17,744
  4. Step 4: Simplify right side
    8,120x = 314,849,536
  5. Step 5: Solve for x
    x = 314,849,536/8,120
  6. Step 6: Final answer
    x = 38,774.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.