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Finding the Third Proportional to 7,427.81 and 11,104.31

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Solution

The third proportional to 7,427.81 and 11,104.31 is: 16,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.81 : 11,104.31 = 11,104.31 : x
  2. Step 2: Convert to fraction form
    7,427.81/11,104.31 = 11,104.31/x
  3. Step 3: Cross multiply
    7,427.81x = 11,104.31 × 11,104.31
  4. Step 4: Simplify right side
    7,427.81x = 123,305,756.10
  5. Step 5: Solve for x
    x = 123,305,756.10/7,427.81
  6. Step 6: Final answer
    x = 16,600.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.