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Finding the Third Proportional to 8,023.31 and 17,559.19

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Solution

The third proportional to 8,023.31 and 17,559.19 is: 38,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,023.31 : 17,559.19 = 17,559.19 : x
  2. Step 2: Convert to fraction form
    8,023.31/17,559.19 = 17,559.19/x
  3. Step 3: Cross multiply
    8,023.31x = 17,559.19 × 17,559.19
  4. Step 4: Simplify right side
    8,023.31x = 308,325,065.66
  5. Step 5: Solve for x
    x = 308,325,065.66/8,023.31
  6. Step 6: Final answer
    x = 38,428.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.