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Finding the Third Proportional to 22,663 and 49,855

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Solution

The third proportional to 22,663 and 49,855 is: 109,673.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,663 : 49,855 = 49,855 : x
  2. Step 2: Convert to fraction form
    22,663/49,855 = 49,855/x
  3. Step 3: Cross multiply
    22,663x = 49,855 × 49,855
  4. Step 4: Simplify right side
    22,663x = 2,485,521,025
  5. Step 5: Solve for x
    x = 2,485,521,025/22,663
  6. Step 6: Final answer
    x = 109,673.08

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.