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Finding the Third Proportional to 22,999 and 49,279

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Solution

The third proportional to 22,999 and 49,279 is: 105,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,999 : 49,279 = 49,279 : x
  2. Step 2: Convert to fraction form
    22,999/49,279 = 49,279/x
  3. Step 3: Cross multiply
    22,999x = 49,279 × 49,279
  4. Step 4: Simplify right side
    22,999x = 2,428,419,841
  5. Step 5: Solve for x
    x = 2,428,419,841/22,999
  6. Step 6: Final answer
    x = 105,588.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.