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Finding the Third Proportional to 3,424.69 and 5,029.03

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Solution

The third proportional to 3,424.69 and 5,029.03 is: 7,384.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.69 : 5,029.03 = 5,029.03 : x
  2. Step 2: Convert to fraction form
    3,424.69/5,029.03 = 5,029.03/x
  3. Step 3: Cross multiply
    3,424.69x = 5,029.03 × 5,029.03
  4. Step 4: Simplify right side
    3,424.69x = 25,291,155.31
  5. Step 5: Solve for x
    x = 25,291,155.31/3,424.69
  6. Step 6: Final answer
    x = 7,384.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.