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Finding the Third Proportional to 23,069 and 49,837

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Solution

The third proportional to 23,069 and 49,837 is: 107,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,069 : 49,837 = 49,837 : x
  2. Step 2: Convert to fraction form
    23,069/49,837 = 49,837/x
  3. Step 3: Cross multiply
    23,069x = 49,837 × 49,837
  4. Step 4: Simplify right side
    23,069x = 2,483,726,569
  5. Step 5: Solve for x
    x = 2,483,726,569/23,069
  6. Step 6: Final answer
    x = 107,665.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.