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Finding the Third Proportional to 22,890 and 35,372

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Solution

The third proportional to 22,890 and 35,372 is: 54,660.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,890 : 35,372 = 35,372 : x
  2. Step 2: Convert to fraction form
    22,890/35,372 = 35,372/x
  3. Step 3: Cross multiply
    22,890x = 35,372 × 35,372
  4. Step 4: Simplify right side
    22,890x = 1,251,178,384
  5. Step 5: Solve for x
    x = 1,251,178,384/22,890
  6. Step 6: Final answer
    x = 54,660.48

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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.