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Finding the Third Proportional to 8,213 and 8,981

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Solution

The third proportional to 8,213 and 8,981 is: 9,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213 : 8,981 = 8,981 : x
  2. Step 2: Convert to fraction form
    8,213/8,981 = 8,981/x
  3. Step 3: Cross multiply
    8,213x = 8,981 × 8,981
  4. Step 4: Simplify right side
    8,213x = 80,658,361
  5. Step 5: Solve for x
    x = 80,658,361/8,213
  6. Step 6: Final answer
    x = 9,820.82

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.