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Finding the Third Proportional to 5,773.78 and 12,438.14

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Solution

The third proportional to 5,773.78 and 12,438.14 is: 26,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.78 : 12,438.14 = 12,438.14 : x
  2. Step 2: Convert to fraction form
    5,773.78/12,438.14 = 12,438.14/x
  3. Step 3: Cross multiply
    5,773.78x = 12,438.14 × 12,438.14
  4. Step 4: Simplify right side
    5,773.78x = 154,707,342.21
  5. Step 5: Solve for x
    x = 154,707,342.21/5,773.78
  6. Step 6: Final answer
    x = 26,794.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.