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Finding the Third Proportional to 8,124.05 and 17,712.42

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Solution

The third proportional to 8,124.05 and 17,712.42 is: 38,617.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.05 : 17,712.42 = 17,712.42 : x
  2. Step 2: Convert to fraction form
    8,124.05/17,712.42 = 17,712.42/x
  3. Step 3: Cross multiply
    8,124.05x = 17,712.42 × 17,712.42
  4. Step 4: Simplify right side
    8,124.05x = 313,729,888.68
  5. Step 5: Solve for x
    x = 313,729,888.68/8,124.05
  6. Step 6: Final answer
    x = 38,617.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.