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Finding the Third Proportional to 2,337.82 and 5,093.93

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Solution

The third proportional to 2,337.82 and 5,093.93 is: 11,099.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.82 : 5,093.93 = 5,093.93 : x
  2. Step 2: Convert to fraction form
    2,337.82/5,093.93 = 5,093.93/x
  3. Step 3: Cross multiply
    2,337.82x = 5,093.93 × 5,093.93
  4. Step 4: Simplify right side
    2,337.82x = 25,948,119.66
  5. Step 5: Solve for x
    x = 25,948,119.66/2,337.82
  6. Step 6: Final answer
    x = 11,099.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.