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Finding the Third Proportional to 4,184 and 5,790

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Solution

The third proportional to 4,184 and 5,790 is: 8,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,184 : 5,790 = 5,790 : x
  2. Step 2: Convert to fraction form
    4,184/5,790 = 5,790/x
  3. Step 3: Cross multiply
    4,184x = 5,790 × 5,790
  4. Step 4: Simplify right side
    4,184x = 33,524,100
  5. Step 5: Solve for x
    x = 33,524,100/4,184
  6. Step 6: Final answer
    x = 8,012.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.