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Finding the Third Proportional to 12,031 and 17,863

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Solution

The third proportional to 12,031 and 17,863 is: 26,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,031 : 17,863 = 17,863 : x
  2. Step 2: Convert to fraction form
    12,031/17,863 = 17,863/x
  3. Step 3: Cross multiply
    12,031x = 17,863 × 17,863
  4. Step 4: Simplify right side
    12,031x = 319,086,769
  5. Step 5: Solve for x
    x = 319,086,769/12,031
  6. Step 6: Final answer
    x = 26,522.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.