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Finding the Third Proportional to 2,193.38 and 4,737.56

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Solution

The third proportional to 2,193.38 and 4,737.56 is: 10,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.38 : 4,737.56 = 4,737.56 : x
  2. Step 2: Convert to fraction form
    2,193.38/4,737.56 = 4,737.56/x
  3. Step 3: Cross multiply
    2,193.38x = 4,737.56 × 4,737.56
  4. Step 4: Simplify right side
    2,193.38x = 22,444,498.44
  5. Step 5: Solve for x
    x = 22,444,498.44/2,193.38
  6. Step 6: Final answer
    x = 10,232.86

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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.