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Finding the Third Proportional to 3,007.69 and 4,629.09

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Solution

The third proportional to 3,007.69 and 4,629.09 is: 7,124.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.69 : 4,629.09 = 4,629.09 : x
  2. Step 2: Convert to fraction form
    3,007.69/4,629.09 = 4,629.09/x
  3. Step 3: Cross multiply
    3,007.69x = 4,629.09 × 4,629.09
  4. Step 4: Simplify right side
    3,007.69x = 21,428,508.95
  5. Step 5: Solve for x
    x = 21,428,508.95/3,007.69
  6. Step 6: Final answer
    x = 7,124.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.