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Finding the Third Proportional to 5,260.13 and 11,340.38

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Solution

The third proportional to 5,260.13 and 11,340.38 is: 24,448.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.13 : 11,340.38 = 11,340.38 : x
  2. Step 2: Convert to fraction form
    5,260.13/11,340.38 = 11,340.38/x
  3. Step 3: Cross multiply
    5,260.13x = 11,340.38 × 11,340.38
  4. Step 4: Simplify right side
    5,260.13x = 128,604,105.14
  5. Step 5: Solve for x
    x = 128,604,105.14/5,260.13
  6. Step 6: Final answer
    x = 24,448.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.