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Finding the Third Proportional to 19,223 and 41,727

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Solution

The third proportional to 19,223 and 41,727 is: 90,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,223 : 41,727 = 41,727 : x
  2. Step 2: Convert to fraction form
    19,223/41,727 = 41,727/x
  3. Step 3: Cross multiply
    19,223x = 41,727 × 41,727
  4. Step 4: Simplify right side
    19,223x = 1,741,142,529
  5. Step 5: Solve for x
    x = 1,741,142,529/19,223
  6. Step 6: Final answer
    x = 90,576.00

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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.