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Finding the Third Proportional to 3,384 and 5,184

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Solution

The third proportional to 3,384 and 5,184 is: 7,941.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,384 : 5,184 = 5,184 : x
  2. Step 2: Convert to fraction form
    3,384/5,184 = 5,184/x
  3. Step 3: Cross multiply
    3,384x = 5,184 × 5,184
  4. Step 4: Simplify right side
    3,384x = 26,873,856
  5. Step 5: Solve for x
    x = 26,873,856/3,384
  6. Step 6: Final answer
    x = 7,941.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.