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Finding the Third Proportional to 7,616.53 and 11,561.48

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Solution

The third proportional to 7,616.53 and 11,561.48 is: 17,549.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.53 : 11,561.48 = 11,561.48 : x
  2. Step 2: Convert to fraction form
    7,616.53/11,561.48 = 11,561.48/x
  3. Step 3: Cross multiply
    7,616.53x = 11,561.48 × 11,561.48
  4. Step 4: Simplify right side
    7,616.53x = 133,667,920.95
  5. Step 5: Solve for x
    x = 133,667,920.95/7,616.53
  6. Step 6: Final answer
    x = 17,549.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.