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Finding the Third Proportional to 23,031 and 33,291

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Solution

The third proportional to 23,031 and 33,291 is: 48,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,031 : 33,291 = 33,291 : x
  2. Step 2: Convert to fraction form
    23,031/33,291 = 33,291/x
  3. Step 3: Cross multiply
    23,031x = 33,291 × 33,291
  4. Step 4: Simplify right side
    23,031x = 1,108,290,681
  5. Step 5: Solve for x
    x = 1,108,290,681/23,031
  6. Step 6: Final answer
    x = 48,121.69

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.