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Finding the Third Proportional to 6,144.31 and 9,266.81

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Solution

The third proportional to 6,144.31 and 9,266.81 is: 13,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.31 : 9,266.81 = 9,266.81 : x
  2. Step 2: Convert to fraction form
    6,144.31/9,266.81 = 9,266.81/x
  3. Step 3: Cross multiply
    6,144.31x = 9,266.81 × 9,266.81
  4. Step 4: Simplify right side
    6,144.31x = 85,873,813.91
  5. Step 5: Solve for x
    x = 85,873,813.91/6,144.31
  6. Step 6: Final answer
    x = 13,976.15

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.