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Finding the Third Proportional to 3,474.14 and 5,095.41

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Solution

The third proportional to 3,474.14 and 5,095.41 is: 7,473.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.14 : 5,095.41 = 5,095.41 : x
  2. Step 2: Convert to fraction form
    3,474.14/5,095.41 = 5,095.41/x
  3. Step 3: Cross multiply
    3,474.14x = 5,095.41 × 5,095.41
  4. Step 4: Simplify right side
    3,474.14x = 25,963,164.85
  5. Step 5: Solve for x
    x = 25,963,164.85/3,474.14
  6. Step 6: Final answer
    x = 7,473.26

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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.