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Finding the Third Proportional to 22,031 and 34,125

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Solution

The third proportional to 22,031 and 34,125 is: 52,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,031 : 34,125 = 34,125 : x
  2. Step 2: Convert to fraction form
    22,031/34,125 = 34,125/x
  3. Step 3: Cross multiply
    22,031x = 34,125 × 34,125
  4. Step 4: Simplify right side
    22,031x = 1,164,515,625
  5. Step 5: Solve for x
    x = 1,164,515,625/22,031
  6. Step 6: Final answer
    x = 52,858.05

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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.