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Finding the Third Proportional to 36,776 and 79,384

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Solution

The third proportional to 36,776 and 79,384 is: 171,356.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,776 : 79,384 = 79,384 : x
  2. Step 2: Convert to fraction form
    36,776/79,384 = 79,384/x
  3. Step 3: Cross multiply
    36,776x = 79,384 × 79,384
  4. Step 4: Simplify right side
    36,776x = 6,301,819,456
  5. Step 5: Solve for x
    x = 6,301,819,456/36,776
  6. Step 6: Final answer
    x = 171,356.85

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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.