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Finding the Third Proportional to 8,639 and 18,149

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Solution

The third proportional to 8,639 and 18,149 is: 38,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,639 : 18,149 = 18,149 : x
  2. Step 2: Convert to fraction form
    8,639/18,149 = 18,149/x
  3. Step 3: Cross multiply
    8,639x = 18,149 × 18,149
  4. Step 4: Simplify right side
    8,639x = 329,386,201
  5. Step 5: Solve for x
    x = 329,386,201/8,639
  6. Step 6: Final answer
    x = 38,127.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.