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Finding the Third Proportional to 38,895.38 and 85,320.75

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Solution

The third proportional to 38,895.38 and 85,320.75 is: 187,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,895.38 : 85,320.75 = 85,320.75 : x
  2. Step 2: Convert to fraction form
    38,895.38/85,320.75 = 85,320.75/x
  3. Step 3: Cross multiply
    38,895.38x = 85,320.75 × 85,320.75
  4. Step 4: Simplify right side
    38,895.38x = 7,279,630,380.56
  5. Step 5: Solve for x
    x = 7,279,630,380.56/38,895.38
  6. Step 6: Final answer
    x = 187,159.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.