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Finding the Third Proportional to 2,693 and 4,981

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Solution

The third proportional to 2,693 and 4,981 is: 9,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693 : 4,981 = 4,981 : x
  2. Step 2: Convert to fraction form
    2,693/4,981 = 4,981/x
  3. Step 3: Cross multiply
    2,693x = 4,981 × 4,981
  4. Step 4: Simplify right side
    2,693x = 24,810,361
  5. Step 5: Solve for x
    x = 24,810,361/2,693
  6. Step 6: Final answer
    x = 9,212.91

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.