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Finding the Third Proportional to 37,866 and 79,726

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Solution

The third proportional to 37,866 and 79,726 is: 167,861.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,866 : 79,726 = 79,726 : x
  2. Step 2: Convert to fraction form
    37,866/79,726 = 79,726/x
  3. Step 3: Cross multiply
    37,866x = 79,726 × 79,726
  4. Step 4: Simplify right side
    37,866x = 6,356,235,076
  5. Step 5: Solve for x
    x = 6,356,235,076/37,866
  6. Step 6: Final answer
    x = 167,861.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.