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Finding the Third Proportional to 38,856.38 and 85,002.75

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Solution

The third proportional to 38,856.38 and 85,002.75 is: 185,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,856.38 : 85,002.75 = 85,002.75 : x
  2. Step 2: Convert to fraction form
    38,856.38/85,002.75 = 85,002.75/x
  3. Step 3: Cross multiply
    38,856.38x = 85,002.75 × 85,002.75
  4. Step 4: Simplify right side
    38,856.38x = 7,225,467,507.56
  5. Step 5: Solve for x
    x = 7,225,467,507.56/38,856.38
  6. Step 6: Final answer
    x = 185,953.21

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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.