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Finding the Third Proportional to 27,902 and 41,914

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Solution

The third proportional to 27,902 and 41,914 is: 62,962.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,902 : 41,914 = 41,914 : x
  2. Step 2: Convert to fraction form
    27,902/41,914 = 41,914/x
  3. Step 3: Cross multiply
    27,902x = 41,914 × 41,914
  4. Step 4: Simplify right side
    27,902x = 1,756,783,396
  5. Step 5: Solve for x
    x = 1,756,783,396/27,902
  6. Step 6: Final answer
    x = 62,962.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.