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Finding the Third Proportional to 8,586 and 20,169

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Solution

The third proportional to 8,586 and 20,169 is: 47,378.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,586 : 20,169 = 20,169 : x
  2. Step 2: Convert to fraction form
    8,586/20,169 = 20,169/x
  3. Step 3: Cross multiply
    8,586x = 20,169 × 20,169
  4. Step 4: Simplify right side
    8,586x = 406,788,561
  5. Step 5: Solve for x
    x = 406,788,561/8,586
  6. Step 6: Final answer
    x = 47,378.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.