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Finding the Third Proportional to 2,399 and 5,101

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Solution

The third proportional to 2,399 and 5,101 is: 10,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399 : 5,101 = 5,101 : x
  2. Step 2: Convert to fraction form
    2,399/5,101 = 5,101/x
  3. Step 3: Cross multiply
    2,399x = 5,101 × 5,101
  4. Step 4: Simplify right side
    2,399x = 26,020,201
  5. Step 5: Solve for x
    x = 26,020,201/2,399
  6. Step 6: Final answer
    x = 10,846.27

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.