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Finding the Third Proportional to 2,235.62 and 4,855.68

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Solution

The third proportional to 2,235.62 and 4,855.68 is: 10,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235.62 : 4,855.68 = 4,855.68 : x
  2. Step 2: Convert to fraction form
    2,235.62/4,855.68 = 4,855.68/x
  3. Step 3: Cross multiply
    2,235.62x = 4,855.68 × 4,855.68
  4. Step 4: Simplify right side
    2,235.62x = 23,577,587.29
  5. Step 5: Solve for x
    x = 23,577,587.29/2,235.62
  6. Step 6: Final answer
    x = 10,546.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.