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Finding the Third Proportional to 20,866 and 45,674

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Solution

The third proportional to 20,866 and 45,674 is: 99,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,866 : 45,674 = 45,674 : x
  2. Step 2: Convert to fraction form
    20,866/45,674 = 45,674/x
  3. Step 3: Cross multiply
    20,866x = 45,674 × 45,674
  4. Step 4: Simplify right side
    20,866x = 2,086,114,276
  5. Step 5: Solve for x
    x = 2,086,114,276/20,866
  6. Step 6: Final answer
    x = 99,976.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.