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Finding the Third Proportional to 2,408.91 and 5,135.91

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Solution

The third proportional to 2,408.91 and 5,135.91 is: 10,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.91 : 5,135.91 = 5,135.91 : x
  2. Step 2: Convert to fraction form
    2,408.91/5,135.91 = 5,135.91/x
  3. Step 3: Cross multiply
    2,408.91x = 5,135.91 × 5,135.91
  4. Step 4: Simplify right side
    2,408.91x = 26,377,533.01
  5. Step 5: Solve for x
    x = 26,377,533.01/2,408.91
  6. Step 6: Final answer
    x = 10,950.00

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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.