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Finding the Third Proportional to 38,087.25 and 82,530.19

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Solution

The third proportional to 38,087.25 and 82,530.19 is: 178,832.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,087.25 : 82,530.19 = 82,530.19 : x
  2. Step 2: Convert to fraction form
    38,087.25/82,530.19 = 82,530.19/x
  3. Step 3: Cross multiply
    38,087.25x = 82,530.19 × 82,530.19
  4. Step 4: Simplify right side
    38,087.25x = 6,811,231,848.79
  5. Step 5: Solve for x
    x = 6,811,231,848.79/38,087.25
  6. Step 6: Final answer
    x = 178,832.33

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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.