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Finding the Third Proportional to 2,663.30 and 3,943.27

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Solution

The third proportional to 2,663.30 and 3,943.27 is: 5,838.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.30 : 3,943.27 = 3,943.27 : x
  2. Step 2: Convert to fraction form
    2,663.30/3,943.27 = 3,943.27/x
  3. Step 3: Cross multiply
    2,663.30x = 3,943.27 × 3,943.27
  4. Step 4: Simplify right side
    2,663.30x = 15,549,343.79
  5. Step 5: Solve for x
    x = 15,549,343.79/2,663.30
  6. Step 6: Final answer
    x = 5,838.38

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.