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Finding the Third Proportional to 7,197 and 11,481

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Solution

The third proportional to 7,197 and 11,481 is: 18,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,197 : 11,481 = 11,481 : x
  2. Step 2: Convert to fraction form
    7,197/11,481 = 11,481/x
  3. Step 3: Cross multiply
    7,197x = 11,481 × 11,481
  4. Step 4: Simplify right side
    7,197x = 131,813,361
  5. Step 5: Solve for x
    x = 131,813,361/7,197
  6. Step 6: Final answer
    x = 18,315.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.