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Finding the Third Proportional to 36,772 and 79,376

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Solution

The third proportional to 36,772 and 79,376 is: 171,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772 : 79,376 = 79,376 : x
  2. Step 2: Convert to fraction form
    36,772/79,376 = 79,376/x
  3. Step 3: Cross multiply
    36,772x = 79,376 × 79,376
  4. Step 4: Simplify right side
    36,772x = 6,300,549,376
  5. Step 5: Solve for x
    x = 6,300,549,376/36,772
  6. Step 6: Final answer
    x = 171,340.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.