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Finding the Third Proportional to 8,650 and 17,540

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Solution

The third proportional to 8,650 and 17,540 is: 35,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,650 : 17,540 = 17,540 : x
  2. Step 2: Convert to fraction form
    8,650/17,540 = 17,540/x
  3. Step 3: Cross multiply
    8,650x = 17,540 × 17,540
  4. Step 4: Simplify right side
    8,650x = 307,651,600
  5. Step 5: Solve for x
    x = 307,651,600/8,650
  6. Step 6: Final answer
    x = 35,566.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.