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Finding the Third Proportional to 6,024 and 10,872

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Solution

The third proportional to 6,024 and 10,872 is: 19,621.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024 : 10,872 = 10,872 : x
  2. Step 2: Convert to fraction form
    6,024/10,872 = 10,872/x
  3. Step 3: Cross multiply
    6,024x = 10,872 × 10,872
  4. Step 4: Simplify right side
    6,024x = 118,200,384
  5. Step 5: Solve for x
    x = 118,200,384/6,024
  6. Step 6: Final answer
    x = 19,621.58

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.