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Finding the Third Proportional to 10,991 and 23,806

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Solution

The third proportional to 10,991 and 23,806 is: 51,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,991 : 23,806 = 23,806 : x
  2. Step 2: Convert to fraction form
    10,991/23,806 = 23,806/x
  3. Step 3: Cross multiply
    10,991x = 23,806 × 23,806
  4. Step 4: Simplify right side
    10,991x = 566,725,636
  5. Step 5: Solve for x
    x = 566,725,636/10,991
  6. Step 6: Final answer
    x = 51,562.70

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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.