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Finding the Third Proportional to 5,098 and 8,122

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Solution

The third proportional to 5,098 and 8,122 is: 12,939.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098 : 8,122 = 8,122 : x
  2. Step 2: Convert to fraction form
    5,098/8,122 = 8,122/x
  3. Step 3: Cross multiply
    5,098x = 8,122 × 8,122
  4. Step 4: Simplify right side
    5,098x = 65,966,884
  5. Step 5: Solve for x
    x = 65,966,884/5,098
  6. Step 6: Final answer
    x = 12,939.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.