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Finding the Third Proportional to 5,184 and 5,760

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Solution

The third proportional to 5,184 and 5,760 is: 6,400

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,184 : 5,760 = 5,760 : x
  2. Step 2: Convert to fraction form
    5,184/5,760 = 5,760/x
  3. Step 3: Cross multiply
    5,184x = 5,760 × 5,760
  4. Step 4: Simplify right side
    5,184x = 33,177,600
  5. Step 5: Solve for x
    x = 33,177,600/5,184
  6. Step 6: Final answer
    x = 6,400

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.