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Finding the Third Proportional to 4,282.88 and 9,258.68

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Solution

The third proportional to 4,282.88 and 9,258.68 is: 20,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.88 : 9,258.68 = 9,258.68 : x
  2. Step 2: Convert to fraction form
    4,282.88/9,258.68 = 9,258.68/x
  3. Step 3: Cross multiply
    4,282.88x = 9,258.68 × 9,258.68
  4. Step 4: Simplify right side
    4,282.88x = 85,723,149.56
  5. Step 5: Solve for x
    x = 85,723,149.56/4,282.88
  6. Step 6: Final answer
    x = 20,015.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.