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Finding the Third Proportional to 11,202 and 23,727

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Solution

The third proportional to 11,202 and 23,727 is: 50,256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202 : 23,727 = 23,727 : x
  2. Step 2: Convert to fraction form
    11,202/23,727 = 23,727/x
  3. Step 3: Cross multiply
    11,202x = 23,727 × 23,727
  4. Step 4: Simplify right side
    11,202x = 562,970,529
  5. Step 5: Solve for x
    x = 562,970,529/11,202
  6. Step 6: Final answer
    x = 50,256.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.