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Finding the Third Proportional to 36,708 and 51,078

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Solution

The third proportional to 36,708 and 51,078 is: 71,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,708 : 51,078 = 51,078 : x
  2. Step 2: Convert to fraction form
    36,708/51,078 = 51,078/x
  3. Step 3: Cross multiply
    36,708x = 51,078 × 51,078
  4. Step 4: Simplify right side
    36,708x = 2,608,962,084
  5. Step 5: Solve for x
    x = 2,608,962,084/36,708
  6. Step 6: Final answer
    x = 71,073.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.