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Finding the Third Proportional to 6,156.56 and 9,016.31

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Solution

The third proportional to 6,156.56 and 9,016.31 is: 13,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.56 : 9,016.31 = 9,016.31 : x
  2. Step 2: Convert to fraction form
    6,156.56/9,016.31 = 9,016.31/x
  3. Step 3: Cross multiply
    6,156.56x = 9,016.31 × 9,016.31
  4. Step 4: Simplify right side
    6,156.56x = 81,293,891.10
  5. Step 5: Solve for x
    x = 81,293,891.10/6,156.56
  6. Step 6: Final answer
    x = 13,204.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.