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Finding the Third Proportional to 2,337.19 and 5,137.59

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Solution

The third proportional to 2,337.19 and 5,137.59 is: 11,293.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,337.19 : 5,137.59 = 5,137.59 : x
  2. Step 2: Convert to fraction form
    2,337.19/5,137.59 = 5,137.59/x
  3. Step 3: Cross multiply
    2,337.19x = 5,137.59 × 5,137.59
  4. Step 4: Simplify right side
    2,337.19x = 26,394,869.54
  5. Step 5: Solve for x
    x = 26,394,869.54/2,337.19
  6. Step 6: Final answer
    x = 11,293.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.