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Finding the Third Proportional to 11,408 and 18,732

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Solution

The third proportional to 11,408 and 18,732 is: 30,758.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408 : 18,732 = 18,732 : x
  2. Step 2: Convert to fraction form
    11,408/18,732 = 18,732/x
  3. Step 3: Cross multiply
    11,408x = 18,732 × 18,732
  4. Step 4: Simplify right side
    11,408x = 350,887,824
  5. Step 5: Solve for x
    x = 350,887,824/11,408
  6. Step 6: Final answer
    x = 30,758.05

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.