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Finding the Third Proportional to 4,257.56 and 10,302.19

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Solution

The third proportional to 4,257.56 and 10,302.19 is: 24,928.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.56 : 10,302.19 = 10,302.19 : x
  2. Step 2: Convert to fraction form
    4,257.56/10,302.19 = 10,302.19/x
  3. Step 3: Cross multiply
    4,257.56x = 10,302.19 × 10,302.19
  4. Step 4: Simplify right side
    4,257.56x = 106,135,067.29
  5. Step 5: Solve for x
    x = 106,135,067.29/4,257.56
  6. Step 6: Final answer
    x = 24,928.60

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.