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Finding the Third Proportional to 8,184.16 and 17,867.62

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Solution

The third proportional to 8,184.16 and 17,867.62 is: 39,008.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.16 : 17,867.62 = 17,867.62 : x
  2. Step 2: Convert to fraction form
    8,184.16/17,867.62 = 17,867.62/x
  3. Step 3: Cross multiply
    8,184.16x = 17,867.62 × 17,867.62
  4. Step 4: Simplify right side
    8,184.16x = 319,251,813.75
  5. Step 5: Solve for x
    x = 319,251,813.75/8,184.16
  6. Step 6: Final answer
    x = 39,008.48

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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.