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Finding the Third Proportional to 8,010.81 and 17,254.23

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Solution

The third proportional to 8,010.81 and 17,254.23 is: 37,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.81 : 17,254.23 = 17,254.23 : x
  2. Step 2: Convert to fraction form
    8,010.81/17,254.23 = 17,254.23/x
  3. Step 3: Cross multiply
    8,010.81x = 17,254.23 × 17,254.23
  4. Step 4: Simplify right side
    8,010.81x = 297,708,469.07
  5. Step 5: Solve for x
    x = 297,708,469.07/8,010.81
  6. Step 6: Final answer
    x = 37,163.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.