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Finding the Third Proportional to 5,840 and 8,366

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Solution

The third proportional to 5,840 and 8,366 is: 11,984.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840 : 8,366 = 8,366 : x
  2. Step 2: Convert to fraction form
    5,840/8,366 = 8,366/x
  3. Step 3: Cross multiply
    5,840x = 8,366 × 8,366
  4. Step 4: Simplify right side
    5,840x = 69,989,956
  5. Step 5: Solve for x
    x = 69,989,956/5,840
  6. Step 6: Final answer
    x = 11,984.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.