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Finding the Third Proportional to 38,963.38 and 85,216.75

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Solution

The third proportional to 38,963.38 and 85,216.75 is: 186,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,963.38 : 85,216.75 = 85,216.75 : x
  2. Step 2: Convert to fraction form
    38,963.38/85,216.75 = 85,216.75/x
  3. Step 3: Cross multiply
    38,963.38x = 85,216.75 × 85,216.75
  4. Step 4: Simplify right side
    38,963.38x = 7,261,894,480.56
  5. Step 5: Solve for x
    x = 7,261,894,480.56/38,963.38
  6. Step 6: Final answer
    x = 186,377.45

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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.