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Finding the Third Proportional to 8,480 and 10,096

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Solution

The third proportional to 8,480 and 10,096 is: 12,019.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480 : 10,096 = 10,096 : x
  2. Step 2: Convert to fraction form
    8,480/10,096 = 10,096/x
  3. Step 3: Cross multiply
    8,480x = 10,096 × 10,096
  4. Step 4: Simplify right side
    8,480x = 101,929,216
  5. Step 5: Solve for x
    x = 101,929,216/8,480
  6. Step 6: Final answer
    x = 12,019.95

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.