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Finding the Third Proportional to 2,510.44 and 5,513.38

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Solution

The third proportional to 2,510.44 and 5,513.38 is: 12,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.44 : 5,513.38 = 5,513.38 : x
  2. Step 2: Convert to fraction form
    2,510.44/5,513.38 = 5,513.38/x
  3. Step 3: Cross multiply
    2,510.44x = 5,513.38 × 5,513.38
  4. Step 4: Simplify right side
    2,510.44x = 30,397,303.89
  5. Step 5: Solve for x
    x = 30,397,303.89/2,510.44
  6. Step 6: Final answer
    x = 12,108.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.