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Finding the Third Proportional to 22,781.50 and 49,307

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Solution

The third proportional to 22,781.50 and 49,307 is: 106,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.50 : 49,307 = 49,307 : x
  2. Step 2: Convert to fraction form
    22,781.50/49,307 = 49,307/x
  3. Step 3: Cross multiply
    22,781.50x = 49,307 × 49,307
  4. Step 4: Simplify right side
    22,781.50x = 2,431,180,249
  5. Step 5: Solve for x
    x = 2,431,180,249/22,781.50
  6. Step 6: Final answer
    x = 106,717.30

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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.