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Finding the Third Proportional to 19,184 and 41,569

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Solution

The third proportional to 19,184 and 41,569 is: 90,074.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,184 : 41,569 = 41,569 : x
  2. Step 2: Convert to fraction form
    19,184/41,569 = 41,569/x
  3. Step 3: Cross multiply
    19,184x = 41,569 × 41,569
  4. Step 4: Simplify right side
    19,184x = 1,727,981,761
  5. Step 5: Solve for x
    x = 1,727,981,761/19,184
  6. Step 6: Final answer
    x = 90,074.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.