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Finding the Third Proportional to 8,114 and 17,689

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Solution

The third proportional to 8,114 and 17,689 is: 38,563.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114 : 17,689 = 17,689 : x
  2. Step 2: Convert to fraction form
    8,114/17,689 = 17,689/x
  3. Step 3: Cross multiply
    8,114x = 17,689 × 17,689
  4. Step 4: Simplify right side
    8,114x = 312,900,721
  5. Step 5: Solve for x
    x = 312,900,721/8,114
  6. Step 6: Final answer
    x = 38,563.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.