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Finding the Third Proportional to 9,192 and 21,668

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Solution

The third proportional to 9,192 and 21,668 is: 51,077.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192 : 21,668 = 21,668 : x
  2. Step 2: Convert to fraction form
    9,192/21,668 = 21,668/x
  3. Step 3: Cross multiply
    9,192x = 21,668 × 21,668
  4. Step 4: Simplify right side
    9,192x = 469,502,224
  5. Step 5: Solve for x
    x = 469,502,224/9,192
  6. Step 6: Final answer
    x = 51,077.27

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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.