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Finding the Third Proportional to 8,196.19 and 17,668.13

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Solution

The third proportional to 8,196.19 and 17,668.13 is: 38,086.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,196.19 : 17,668.13 = 17,668.13 : x
  2. Step 2: Convert to fraction form
    8,196.19/17,668.13 = 17,668.13/x
  3. Step 3: Cross multiply
    8,196.19x = 17,668.13 × 17,668.13
  4. Step 4: Simplify right side
    8,196.19x = 312,162,641.02
  5. Step 5: Solve for x
    x = 312,162,641.02/8,196.19
  6. Step 6: Final answer
    x = 38,086.32

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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.