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Finding the Third Proportional to 2,405 and 5,101

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Solution

The third proportional to 2,405 and 5,101 is: 10,819.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 5,101 = 5,101 : x
  2. Step 2: Convert to fraction form
    2,405/5,101 = 5,101/x
  3. Step 3: Cross multiply
    2,405x = 5,101 × 5,101
  4. Step 4: Simplify right side
    2,405x = 26,020,201
  5. Step 5: Solve for x
    x = 26,020,201/2,405
  6. Step 6: Final answer
    x = 10,819.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.