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Finding the Third Proportional to 8,497.88 and 18,408.14

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Solution

The third proportional to 8,497.88 and 18,408.14 is: 39,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.88 : 18,408.14 = 18,408.14 : x
  2. Step 2: Convert to fraction form
    8,497.88/18,408.14 = 18,408.14/x
  3. Step 3: Cross multiply
    8,497.88x = 18,408.14 × 18,408.14
  4. Step 4: Simplify right side
    8,497.88x = 338,859,641.27
  5. Step 5: Solve for x
    x = 338,859,641.27/8,497.88
  6. Step 6: Final answer
    x = 39,875.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.