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Finding the Third Proportional to 19,742 and 41,701

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Solution

The third proportional to 19,742 and 41,701 is: 88,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,742 : 41,701 = 41,701 : x
  2. Step 2: Convert to fraction form
    19,742/41,701 = 41,701/x
  3. Step 3: Cross multiply
    19,742x = 41,701 × 41,701
  4. Step 4: Simplify right side
    19,742x = 1,738,973,401
  5. Step 5: Solve for x
    x = 1,738,973,401/19,742
  6. Step 6: Final answer
    x = 88,084.97

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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.