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Finding the Third Proportional to 8,837.16 and 19,057.69

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Solution

The third proportional to 8,837.16 and 19,057.69 is: 41,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.16 : 19,057.69 = 19,057.69 : x
  2. Step 2: Convert to fraction form
    8,837.16/19,057.69 = 19,057.69/x
  3. Step 3: Cross multiply
    8,837.16x = 19,057.69 × 19,057.69
  4. Step 4: Simplify right side
    8,837.16x = 363,195,452.85
  5. Step 5: Solve for x
    x = 363,195,452.85/8,837.16
  6. Step 6: Final answer
    x = 41,098.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.