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Finding the Third Proportional to 8,248 and 10,084

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Solution

The third proportional to 8,248 and 10,084 is: 12,328.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248 : 10,084 = 10,084 : x
  2. Step 2: Convert to fraction form
    8,248/10,084 = 10,084/x
  3. Step 3: Cross multiply
    8,248x = 10,084 × 10,084
  4. Step 4: Simplify right side
    8,248x = 101,687,056
  5. Step 5: Solve for x
    x = 101,687,056/8,248
  6. Step 6: Final answer
    x = 12,328.69

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.