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Finding the Third Proportional to 27,354 and 37,686

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Solution

The third proportional to 27,354 and 37,686 is: 51,920.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,354 : 37,686 = 37,686 : x
  2. Step 2: Convert to fraction form
    27,354/37,686 = 37,686/x
  3. Step 3: Cross multiply
    27,354x = 37,686 × 37,686
  4. Step 4: Simplify right side
    27,354x = 1,420,234,596
  5. Step 5: Solve for x
    x = 1,420,234,596/27,354
  6. Step 6: Final answer
    x = 51,920.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.