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Finding the Third Proportional to 3,718.69 and 5,474.81

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Solution

The third proportional to 3,718.69 and 5,474.81 is: 8,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.69 : 5,474.81 = 5,474.81 : x
  2. Step 2: Convert to fraction form
    3,718.69/5,474.81 = 5,474.81/x
  3. Step 3: Cross multiply
    3,718.69x = 5,474.81 × 5,474.81
  4. Step 4: Simplify right side
    3,718.69x = 29,973,571.91
  5. Step 5: Solve for x
    x = 29,973,571.91/3,718.69
  6. Step 6: Final answer
    x = 8,060.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.