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Finding the Third Proportional to 3,474.56 and 7,494.47

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Solution

The third proportional to 3,474.56 and 7,494.47 is: 16,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.56 : 7,494.47 = 7,494.47 : x
  2. Step 2: Convert to fraction form
    3,474.56/7,494.47 = 7,494.47/x
  3. Step 3: Cross multiply
    3,474.56x = 7,494.47 × 7,494.47
  4. Step 4: Simplify right side
    3,474.56x = 56,167,061.84
  5. Step 5: Solve for x
    x = 56,167,061.84/3,474.56
  6. Step 6: Final answer
    x = 16,165.22

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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.