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Finding the Third Proportional to 30,785.06 and 66,481.88

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Solution

The third proportional to 30,785.06 and 66,481.88 is: 143,570.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,785.06 : 66,481.88 = 66,481.88 : x
  2. Step 2: Convert to fraction form
    30,785.06/66,481.88 = 66,481.88/x
  3. Step 3: Cross multiply
    30,785.06x = 66,481.88 × 66,481.88
  4. Step 4: Simplify right side
    30,785.06x = 4,419,839,703.52
  5. Step 5: Solve for x
    x = 4,419,839,703.52/30,785.06
  6. Step 6: Final answer
    x = 143,570.92

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.