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Finding the Third Proportional to 7,306.88 and 11,493.56

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Solution

The third proportional to 7,306.88 and 11,493.56 is: 18,079.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,306.88 : 11,493.56 = 11,493.56 : x
  2. Step 2: Convert to fraction form
    7,306.88/11,493.56 = 11,493.56/x
  3. Step 3: Cross multiply
    7,306.88x = 11,493.56 × 11,493.56
  4. Step 4: Simplify right side
    7,306.88x = 132,101,978.94
  5. Step 5: Solve for x
    x = 132,101,978.94/7,306.88
  6. Step 6: Final answer
    x = 18,079.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.