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Finding the Third Proportional to 37,668 and 74,376

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Solution

The third proportional to 37,668 and 74,376 is: 146,856.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,668 : 74,376 = 74,376 : x
  2. Step 2: Convert to fraction form
    37,668/74,376 = 74,376/x
  3. Step 3: Cross multiply
    37,668x = 74,376 × 74,376
  4. Step 4: Simplify right side
    37,668x = 5,531,789,376
  5. Step 5: Solve for x
    x = 5,531,789,376/37,668
  6. Step 6: Final answer
    x = 146,856.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.