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Finding the Third Proportional to 22,272 and 35,821

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Solution

The third proportional to 22,272 and 35,821 is: 57,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272 : 35,821 = 35,821 : x
  2. Step 2: Convert to fraction form
    22,272/35,821 = 35,821/x
  3. Step 3: Cross multiply
    22,272x = 35,821 × 35,821
  4. Step 4: Simplify right side
    22,272x = 1,283,144,041
  5. Step 5: Solve for x
    x = 1,283,144,041/22,272
  6. Step 6: Final answer
    x = 57,612.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.