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Finding the Third Proportional to 6,091.31 and 13,282.88

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Solution

The third proportional to 6,091.31 and 13,282.88 is: 28,964.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.31 : 13,282.88 = 13,282.88 : x
  2. Step 2: Convert to fraction form
    6,091.31/13,282.88 = 13,282.88/x
  3. Step 3: Cross multiply
    6,091.31x = 13,282.88 × 13,282.88
  4. Step 4: Simplify right side
    6,091.31x = 176,434,768.27
  5. Step 5: Solve for x
    x = 176,434,768.27/6,091.31
  6. Step 6: Final answer
    x = 28,964.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.