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Finding the Third Proportional to 8,091.56 and 17,308.13

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Solution

The third proportional to 8,091.56 and 17,308.13 is: 37,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,091.56 : 17,308.13 = 17,308.13 : x
  2. Step 2: Convert to fraction form
    8,091.56/17,308.13 = 17,308.13/x
  3. Step 3: Cross multiply
    8,091.56x = 17,308.13 × 17,308.13
  4. Step 4: Simplify right side
    8,091.56x = 299,571,191.02
  5. Step 5: Solve for x
    x = 299,571,191.02/8,091.56
  6. Step 6: Final answer
    x = 37,022.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.