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Finding the Third Proportional to 22,967 and 35,491

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Solution

The third proportional to 22,967 and 35,491 is: 54,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967 : 35,491 = 35,491 : x
  2. Step 2: Convert to fraction form
    22,967/35,491 = 35,491/x
  3. Step 3: Cross multiply
    22,967x = 35,491 × 35,491
  4. Step 4: Simplify right side
    22,967x = 1,259,611,081
  5. Step 5: Solve for x
    x = 1,259,611,081/22,967
  6. Step 6: Final answer
    x = 54,844.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.