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Finding the Third Proportional to 6,745 and 7,981

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Solution

The third proportional to 6,745 and 7,981 is: 9,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745 : 7,981 = 7,981 : x
  2. Step 2: Convert to fraction form
    6,745/7,981 = 7,981/x
  3. Step 3: Cross multiply
    6,745x = 7,981 × 7,981
  4. Step 4: Simplify right side
    6,745x = 63,696,361
  5. Step 5: Solve for x
    x = 63,696,361/6,745
  6. Step 6: Final answer
    x = 9,443.49

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.