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Finding the Third Proportional to 2,778.47 and 3,609.14

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Solution

The third proportional to 2,778.47 and 3,609.14 is: 4,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.47 : 3,609.14 = 3,609.14 : x
  2. Step 2: Convert to fraction form
    2,778.47/3,609.14 = 3,609.14/x
  3. Step 3: Cross multiply
    2,778.47x = 3,609.14 × 3,609.14
  4. Step 4: Simplify right side
    2,778.47x = 13,025,896.05
  5. Step 5: Solve for x
    x = 13,025,896.05/2,778.47
  6. Step 6: Final answer
    x = 4,688.16

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.