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Finding the Third Proportional to 8,442.14 and 18,193.36

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Solution

The third proportional to 8,442.14 and 18,193.36 is: 39,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442.14 : 18,193.36 = 18,193.36 : x
  2. Step 2: Convert to fraction form
    8,442.14/18,193.36 = 18,193.36/x
  3. Step 3: Cross multiply
    8,442.14x = 18,193.36 × 18,193.36
  4. Step 4: Simplify right side
    8,442.14x = 330,998,325.35
  5. Step 5: Solve for x
    x = 330,998,325.35/8,442.14
  6. Step 6: Final answer
    x = 39,207.87

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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.