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Finding the Third Proportional to 8,614 and 18,310

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Solution

The third proportional to 8,614 and 18,310 is: 38,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614 : 18,310 = 18,310 : x
  2. Step 2: Convert to fraction form
    8,614/18,310 = 18,310/x
  3. Step 3: Cross multiply
    8,614x = 18,310 × 18,310
  4. Step 4: Simplify right side
    8,614x = 335,256,100
  5. Step 5: Solve for x
    x = 335,256,100/8,614
  6. Step 6: Final answer
    x = 38,919.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.