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Finding the Third Proportional to 2,114.44 and 5,120.72

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Solution

The third proportional to 2,114.44 and 5,120.72 is: 12,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.44 : 5,120.72 = 5,120.72 : x
  2. Step 2: Convert to fraction form
    2,114.44/5,120.72 = 5,120.72/x
  3. Step 3: Cross multiply
    2,114.44x = 5,120.72 × 5,120.72
  4. Step 4: Simplify right side
    2,114.44x = 26,221,760.52
  5. Step 5: Solve for x
    x = 26,221,760.52/2,114.44
  6. Step 6: Final answer
    x = 12,401.29

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.