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Finding the Third Proportional to 22,802 and 49,762

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Solution

The third proportional to 22,802 and 49,762 is: 108,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,802 : 49,762 = 49,762 : x
  2. Step 2: Convert to fraction form
    22,802/49,762 = 49,762/x
  3. Step 3: Cross multiply
    22,802x = 49,762 × 49,762
  4. Step 4: Simplify right side
    22,802x = 2,476,256,644
  5. Step 5: Solve for x
    x = 2,476,256,644/22,802
  6. Step 6: Final answer
    x = 108,598.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.