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Finding the Third Proportional to 8,134.31 and 17,825.06

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Solution

The third proportional to 8,134.31 and 17,825.06 is: 39,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134.31 : 17,825.06 = 17,825.06 : x
  2. Step 2: Convert to fraction form
    8,134.31/17,825.06 = 17,825.06/x
  3. Step 3: Cross multiply
    8,134.31x = 17,825.06 × 17,825.06
  4. Step 4: Simplify right side
    8,134.31x = 317,732,853.13
  5. Step 5: Solve for x
    x = 317,732,853.13/8,134.31
  6. Step 6: Final answer
    x = 39,060.81

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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.