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Finding the Third Proportional to 2,286.84 and 3,430.69

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Solution

The third proportional to 2,286.84 and 3,430.69 is: 5,146.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,286.84 : 3,430.69 = 3,430.69 : x
  2. Step 2: Convert to fraction form
    2,286.84/3,430.69 = 3,430.69/x
  3. Step 3: Cross multiply
    2,286.84x = 3,430.69 × 3,430.69
  4. Step 4: Simplify right side
    2,286.84x = 11,769,616.72
  5. Step 5: Solve for x
    x = 11,769,616.72/2,286.84
  6. Step 6: Final answer
    x = 5,146.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.