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Finding the Third Proportional to 19,031 and 27,049

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Solution

The third proportional to 19,031 and 27,049 is: 38,445.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,031 : 27,049 = 27,049 : x
  2. Step 2: Convert to fraction form
    19,031/27,049 = 27,049/x
  3. Step 3: Cross multiply
    19,031x = 27,049 × 27,049
  4. Step 4: Simplify right side
    19,031x = 731,648,401
  5. Step 5: Solve for x
    x = 731,648,401/19,031
  6. Step 6: Final answer
    x = 38,445.08

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.