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Finding the Third Proportional to 36,677 and 55,366

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Solution

The third proportional to 36,677 and 55,366 is: 83,578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,677 : 55,366 = 55,366 : x
  2. Step 2: Convert to fraction form
    36,677/55,366 = 55,366/x
  3. Step 3: Cross multiply
    36,677x = 55,366 × 55,366
  4. Step 4: Simplify right side
    36,677x = 3,065,393,956
  5. Step 5: Solve for x
    x = 3,065,393,956/36,677
  6. Step 6: Final answer
    x = 83,578.10

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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.