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Finding the Third Proportional to 38,904.25 and 85,340.75

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Solution

The third proportional to 38,904.25 and 85,340.75 is: 187,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,904.25 : 85,340.75 = 85,340.75 : x
  2. Step 2: Convert to fraction form
    38,904.25/85,340.75 = 85,340.75/x
  3. Step 3: Cross multiply
    38,904.25x = 85,340.75 × 85,340.75
  4. Step 4: Simplify right side
    38,904.25x = 7,283,043,610.56
  5. Step 5: Solve for x
    x = 7,283,043,610.56/38,904.25
  6. Step 6: Final answer
    x = 187,204.32

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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.