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Finding the Third Proportional to 7,586.16 and 11,515.92

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Solution

The third proportional to 7,586.16 and 11,515.92 is: 17,481.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.16 : 11,515.92 = 11,515.92 : x
  2. Step 2: Convert to fraction form
    7,586.16/11,515.92 = 11,515.92/x
  3. Step 3: Cross multiply
    7,586.16x = 11,515.92 × 11,515.92
  4. Step 4: Simplify right side
    7,586.16x = 132,616,456.63
  5. Step 5: Solve for x
    x = 132,616,456.63/7,586.16
  6. Step 6: Final answer
    x = 17,481.38

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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.