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Finding the Third Proportional to 8,440 and 19,932

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Solution

The third proportional to 8,440 and 19,932 is: 47,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440 : 19,932 = 19,932 : x
  2. Step 2: Convert to fraction form
    8,440/19,932 = 19,932/x
  3. Step 3: Cross multiply
    8,440x = 19,932 × 19,932
  4. Step 4: Simplify right side
    8,440x = 397,284,624
  5. Step 5: Solve for x
    x = 397,284,624/8,440
  6. Step 6: Final answer
    x = 47,071.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.