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Finding the Third Proportional to 1,490.19 and 3,229.31

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Solution

The third proportional to 1,490.19 and 3,229.31 is: 6,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.19 : 3,229.31 = 3,229.31 : x
  2. Step 2: Convert to fraction form
    1,490.19/3,229.31 = 3,229.31/x
  3. Step 3: Cross multiply
    1,490.19x = 3,229.31 × 3,229.31
  4. Step 4: Simplify right side
    1,490.19x = 10,428,459.22
  5. Step 5: Solve for x
    x = 10,428,459.22/1,490.19
  6. Step 6: Final answer
    x = 6,998.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.