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Finding the Third Proportional to 4,137.13 and 5,787.19

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Solution

The third proportional to 4,137.13 and 5,787.19 is: 8,095.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137.13 : 5,787.19 = 5,787.19 : x
  2. Step 2: Convert to fraction form
    4,137.13/5,787.19 = 5,787.19/x
  3. Step 3: Cross multiply
    4,137.13x = 5,787.19 × 5,787.19
  4. Step 4: Simplify right side
    4,137.13x = 33,491,539.16
  5. Step 5: Solve for x
    x = 33,491,539.16/4,137.13
  6. Step 6: Final answer
    x = 8,095.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.