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Finding the Third Proportional to 6,227.81 and 13,549.31

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Solution

The third proportional to 6,227.81 and 13,549.31 is: 29,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.81 : 13,549.31 = 13,549.31 : x
  2. Step 2: Convert to fraction form
    6,227.81/13,549.31 = 13,549.31/x
  3. Step 3: Cross multiply
    6,227.81x = 13,549.31 × 13,549.31
  4. Step 4: Simplify right side
    6,227.81x = 183,583,869.22
  5. Step 5: Solve for x
    x = 183,583,869.22/6,227.81
  6. Step 6: Final answer
    x = 29,478.07

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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.