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Finding the Third Proportional to 38,104.75 and 57,917

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Solution

The third proportional to 38,104.75 and 57,917 is: 88,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104.75 : 57,917 = 57,917 : x
  2. Step 2: Convert to fraction form
    38,104.75/57,917 = 57,917/x
  3. Step 3: Cross multiply
    38,104.75x = 57,917 × 57,917
  4. Step 4: Simplify right side
    38,104.75x = 3,354,378,889
  5. Step 5: Solve for x
    x = 3,354,378,889/38,104.75
  6. Step 6: Final answer
    x = 88,030.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.