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Finding the Third Proportional to 8,217 and 9,873

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Solution

The third proportional to 8,217 and 9,873 is: 11,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,217 : 9,873 = 9,873 : x
  2. Step 2: Convert to fraction form
    8,217/9,873 = 9,873/x
  3. Step 3: Cross multiply
    8,217x = 9,873 × 9,873
  4. Step 4: Simplify right side
    8,217x = 97,476,129
  5. Step 5: Solve for x
    x = 97,476,129/8,217
  6. Step 6: Final answer
    x = 11,862.74

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.