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Finding the Third Proportional to 3,767.34 and 5,306.77

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Solution

The third proportional to 3,767.34 and 5,306.77 is: 7,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.34 : 5,306.77 = 5,306.77 : x
  2. Step 2: Convert to fraction form
    3,767.34/5,306.77 = 5,306.77/x
  3. Step 3: Cross multiply
    3,767.34x = 5,306.77 × 5,306.77
  4. Step 4: Simplify right side
    3,767.34x = 28,161,761.40
  5. Step 5: Solve for x
    x = 28,161,761.40/3,767.34
  6. Step 6: Final answer
    x = 7,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.