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Finding the Third Proportional to 16,080 and 21,192

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Solution

The third proportional to 16,080 and 21,192 is: 27,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,080 : 21,192 = 21,192 : x
  2. Step 2: Convert to fraction form
    16,080/21,192 = 21,192/x
  3. Step 3: Cross multiply
    16,080x = 21,192 × 21,192
  4. Step 4: Simplify right side
    16,080x = 449,100,864
  5. Step 5: Solve for x
    x = 449,100,864/16,080
  6. Step 6: Final answer
    x = 27,929.16

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.