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Finding the Third Proportional to 5,184 and 7,872

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Solution

The third proportional to 5,184 and 7,872 is: 11,953.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 7,872 = 7,872 : x
  2. Step 2: Convert to fraction form
    5,184/7,872 = 7,872/x
  3. Step 3: Cross multiply
    5,184x = 7,872 × 7,872
  4. Step 4: Simplify right side
    5,184x = 61,968,384
  5. Step 5: Solve for x
    x = 61,968,384/5,184
  6. Step 6: Final answer
    x = 11,953.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.