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Finding the Third Proportional to 10,350 and 18,674

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Solution

The third proportional to 10,350 and 18,674 is: 33,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350 : 18,674 = 18,674 : x
  2. Step 2: Convert to fraction form
    10,350/18,674 = 18,674/x
  3. Step 3: Cross multiply
    10,350x = 18,674 × 18,674
  4. Step 4: Simplify right side
    10,350x = 348,718,276
  5. Step 5: Solve for x
    x = 348,718,276/10,350
  6. Step 6: Final answer
    x = 33,692.59

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.