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Finding the Third Proportional to 2,400 and 5,184

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Solution

The third proportional to 2,400 and 5,184 is: 11,197.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,400 : 5,184 = 5,184 : x
  2. Step 2: Convert to fraction form
    2,400/5,184 = 5,184/x
  3. Step 3: Cross multiply
    2,400x = 5,184 × 5,184
  4. Step 4: Simplify right side
    2,400x = 26,873,856
  5. Step 5: Solve for x
    x = 26,873,856/2,400
  6. Step 6: Final answer
    x = 11,197.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.