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Finding the Third Proportional to 38,422.13 and 83,405.25

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Solution

The third proportional to 38,422.13 and 83,405.25 is: 181,052.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,422.13 : 83,405.25 = 83,405.25 : x
  2. Step 2: Convert to fraction form
    38,422.13/83,405.25 = 83,405.25/x
  3. Step 3: Cross multiply
    38,422.13x = 83,405.25 × 83,405.25
  4. Step 4: Simplify right side
    38,422.13x = 6,956,435,727.56
  5. Step 5: Solve for x
    x = 6,956,435,727.56/38,422.13
  6. Step 6: Final answer
    x = 181,052.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.