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Finding the Third Proportional to 11,186 and 23,523

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Solution

The third proportional to 11,186 and 23,523 is: 49,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186 : 23,523 = 23,523 : x
  2. Step 2: Convert to fraction form
    11,186/23,523 = 23,523/x
  3. Step 3: Cross multiply
    11,186x = 23,523 × 23,523
  4. Step 4: Simplify right side
    11,186x = 553,331,529
  5. Step 5: Solve for x
    x = 553,331,529/11,186
  6. Step 6: Final answer
    x = 49,466.43

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.