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Finding the Third Proportional to 3,478.57 and 5,266.27

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Solution

The third proportional to 3,478.57 and 5,266.27 is: 7,972.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.57 : 5,266.27 = 5,266.27 : x
  2. Step 2: Convert to fraction form
    3,478.57/5,266.27 = 5,266.27/x
  3. Step 3: Cross multiply
    3,478.57x = 5,266.27 × 5,266.27
  4. Step 4: Simplify right side
    3,478.57x = 27,733,553.63
  5. Step 5: Solve for x
    x = 27,733,553.63/3,478.57
  6. Step 6: Final answer
    x = 7,972.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.