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Finding the Third Proportional to 38,850.75 and 85,867.88

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Solution

The third proportional to 38,850.75 and 85,867.88 is: 189,785.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,850.75 : 85,867.88 = 85,867.88 : x
  2. Step 2: Convert to fraction form
    38,850.75/85,867.88 = 85,867.88/x
  3. Step 3: Cross multiply
    38,850.75x = 85,867.88 × 85,867.88
  4. Step 4: Simplify right side
    38,850.75x = 7,373,291,957.02
  5. Step 5: Solve for x
    x = 7,373,291,957.02/38,850.75
  6. Step 6: Final answer
    x = 189,785.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.