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Finding the Third Proportional to 3,828.88 and 6,107.88

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Solution

The third proportional to 3,828.88 and 6,107.88 is: 9,743.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.88 : 6,107.88 = 6,107.88 : x
  2. Step 2: Convert to fraction form
    3,828.88/6,107.88 = 6,107.88/x
  3. Step 3: Cross multiply
    3,828.88x = 6,107.88 × 6,107.88
  4. Step 4: Simplify right side
    3,828.88x = 37,306,137.02
  5. Step 5: Solve for x
    x = 37,306,137.02/3,828.88
  6. Step 6: Final answer
    x = 9,743.37

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.