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Finding the Third Proportional to 8,308.13 and 17,920.69

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Solution

The third proportional to 8,308.13 and 17,920.69 is: 38,655.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.13 : 17,920.69 = 17,920.69 : x
  2. Step 2: Convert to fraction form
    8,308.13/17,920.69 = 17,920.69/x
  3. Step 3: Cross multiply
    8,308.13x = 17,920.69 × 17,920.69
  4. Step 4: Simplify right side
    8,308.13x = 321,151,040.47
  5. Step 5: Solve for x
    x = 321,151,040.47/8,308.13
  6. Step 6: Final answer
    x = 38,655.06

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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.