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Finding the Third Proportional to 3,029.70 and 6,426.21

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Solution

The third proportional to 3,029.70 and 6,426.21 is: 13,630.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,029.70 : 6,426.21 = 6,426.21 : x
  2. Step 2: Convert to fraction form
    3,029.70/6,426.21 = 6,426.21/x
  3. Step 3: Cross multiply
    3,029.70x = 6,426.21 × 6,426.21
  4. Step 4: Simplify right side
    3,029.70x = 41,296,187.01
  5. Step 5: Solve for x
    x = 41,296,187.01/3,029.70
  6. Step 6: Final answer
    x = 13,630.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.