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Finding the Third Proportional to 8,099 and 12,317

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Solution

The third proportional to 8,099 and 12,317 is: 18,731.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099 : 12,317 = 12,317 : x
  2. Step 2: Convert to fraction form
    8,099/12,317 = 12,317/x
  3. Step 3: Cross multiply
    8,099x = 12,317 × 12,317
  4. Step 4: Simplify right side
    8,099x = 151,708,489
  5. Step 5: Solve for x
    x = 151,708,489/8,099
  6. Step 6: Final answer
    x = 18,731.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.