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Finding the Third Proportional to 2,392.03 and 3,827.25

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Solution

The third proportional to 2,392.03 and 3,827.25 is: 6,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.03 : 3,827.25 = 3,827.25 : x
  2. Step 2: Convert to fraction form
    2,392.03/3,827.25 = 3,827.25/x
  3. Step 3: Cross multiply
    2,392.03x = 3,827.25 × 3,827.25
  4. Step 4: Simplify right side
    2,392.03x = 14,647,842.56
  5. Step 5: Solve for x
    x = 14,647,842.56/2,392.03
  6. Step 6: Final answer
    x = 6,123.60

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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.