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Finding the Third Proportional to 18,612 and 26,031

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Solution

The third proportional to 18,612 and 26,031 is: 36,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,612 : 26,031 = 26,031 : x
  2. Step 2: Convert to fraction form
    18,612/26,031 = 26,031/x
  3. Step 3: Cross multiply
    18,612x = 26,031 × 26,031
  4. Step 4: Simplify right side
    18,612x = 677,612,961
  5. Step 5: Solve for x
    x = 677,612,961/18,612
  6. Step 6: Final answer
    x = 36,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.