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Finding the Third Proportional to 36,686 and 49,539

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Solution

The third proportional to 36,686 and 49,539 is: 66,895.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,686 : 49,539 = 49,539 : x
  2. Step 2: Convert to fraction form
    36,686/49,539 = 49,539/x
  3. Step 3: Cross multiply
    36,686x = 49,539 × 49,539
  4. Step 4: Simplify right side
    36,686x = 2,454,112,521
  5. Step 5: Solve for x
    x = 2,454,112,521/36,686
  6. Step 6: Final answer
    x = 66,895.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.