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Finding the Third Proportional to 38,334 and 57,336

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Solution

The third proportional to 38,334 and 57,336 is: 85,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334 : 57,336 = 57,336 : x
  2. Step 2: Convert to fraction form
    38,334/57,336 = 57,336/x
  3. Step 3: Cross multiply
    38,334x = 57,336 × 57,336
  4. Step 4: Simplify right side
    38,334x = 3,287,416,896
  5. Step 5: Solve for x
    x = 3,287,416,896/38,334
  6. Step 6: Final answer
    x = 85,757.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.