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Finding the Third Proportional to 2,493.28 and 3,723.47

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Solution

The third proportional to 2,493.28 and 3,723.47 is: 5,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.28 : 3,723.47 = 3,723.47 : x
  2. Step 2: Convert to fraction form
    2,493.28/3,723.47 = 3,723.47/x
  3. Step 3: Cross multiply
    2,493.28x = 3,723.47 × 3,723.47
  4. Step 4: Simplify right side
    2,493.28x = 13,864,219.53
  5. Step 5: Solve for x
    x = 13,864,219.53/2,493.28
  6. Step 6: Final answer
    x = 5,560.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.