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Finding the Third Proportional to 5,122.13 and 10,450.13

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Solution

The third proportional to 5,122.13 and 10,450.13 is: 21,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.13 : 10,450.13 = 10,450.13 : x
  2. Step 2: Convert to fraction form
    5,122.13/10,450.13 = 10,450.13/x
  3. Step 3: Cross multiply
    5,122.13x = 10,450.13 × 10,450.13
  4. Step 4: Simplify right side
    5,122.13x = 109,205,112.52
  5. Step 5: Solve for x
    x = 109,205,112.52/5,122.13
  6. Step 6: Final answer
    x = 21,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.