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Finding the Third Proportional to 22,474 and 32,372

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Solution

The third proportional to 22,474 and 32,372 is: 46,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,474 : 32,372 = 32,372 : x
  2. Step 2: Convert to fraction form
    22,474/32,372 = 32,372/x
  3. Step 3: Cross multiply
    22,474x = 32,372 × 32,372
  4. Step 4: Simplify right side
    22,474x = 1,047,946,384
  5. Step 5: Solve for x
    x = 1,047,946,384/22,474
  6. Step 6: Final answer
    x = 46,629.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.