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Finding the Third Proportional to 2,296.69 and 3,438.70

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Solution

The third proportional to 2,296.69 and 3,438.70 is: 5,148.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.69 : 3,438.70 = 3,438.70 : x
  2. Step 2: Convert to fraction form
    2,296.69/3,438.70 = 3,438.70/x
  3. Step 3: Cross multiply
    2,296.69x = 3,438.70 × 3,438.70
  4. Step 4: Simplify right side
    2,296.69x = 11,824,679.18
  5. Step 5: Solve for x
    x = 11,824,679.18/2,296.69
  6. Step 6: Final answer
    x = 5,148.58

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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.