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Finding the Third Proportional to 9,264 and 13,932

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Solution

The third proportional to 9,264 and 13,932 is: 20,952.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264 : 13,932 = 13,932 : x
  2. Step 2: Convert to fraction form
    9,264/13,932 = 13,932/x
  3. Step 3: Cross multiply
    9,264x = 13,932 × 13,932
  4. Step 4: Simplify right side
    9,264x = 194,100,624
  5. Step 5: Solve for x
    x = 194,100,624/9,264
  6. Step 6: Final answer
    x = 20,952.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.