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Finding the Third Proportional to 2,428.34 and 5,201.24

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Solution

The third proportional to 2,428.34 and 5,201.24 is: 11,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.34 : 5,201.24 = 5,201.24 : x
  2. Step 2: Convert to fraction form
    2,428.34/5,201.24 = 5,201.24/x
  3. Step 3: Cross multiply
    2,428.34x = 5,201.24 × 5,201.24
  4. Step 4: Simplify right side
    2,428.34x = 27,052,940.61
  5. Step 5: Solve for x
    x = 27,052,940.61/2,428.34
  6. Step 6: Final answer
    x = 11,140.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.