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Finding the Third Proportional to 22,031 and 35,466

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Solution

The third proportional to 22,031 and 35,466 is: 57,093.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031 : 35,466 = 35,466 : x
  2. Step 2: Convert to fraction form
    22,031/35,466 = 35,466/x
  3. Step 3: Cross multiply
    22,031x = 35,466 × 35,466
  4. Step 4: Simplify right side
    22,031x = 1,257,837,156
  5. Step 5: Solve for x
    x = 1,257,837,156/22,031
  6. Step 6: Final answer
    x = 57,093.97

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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.