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Finding the Third Proportional to 36.76 and 79.63

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Solution

The third proportional to 36.76 and 79.63 is: 172.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.76 : 79.63 = 79.63 : x
  2. Step 2: Convert to fraction form
    36.76/79.63 = 79.63/x
  3. Step 3: Cross multiply
    36.76x = 79.63 × 79.63
  4. Step 4: Simplify right side
    36.76x = 6,340.76
  5. Step 5: Solve for x
    x = 6,340.76/36.76
  6. Step 6: Final answer
    x = 172.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.