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Finding the Third Proportional to 1,380.19 and 3,021.19

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Solution

The third proportional to 1,380.19 and 3,021.19 is: 6,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.19 : 3,021.19 = 3,021.19 : x
  2. Step 2: Convert to fraction form
    1,380.19/3,021.19 = 3,021.19/x
  3. Step 3: Cross multiply
    1,380.19x = 3,021.19 × 3,021.19
  4. Step 4: Simplify right side
    1,380.19x = 9,127,573.91
  5. Step 5: Solve for x
    x = 9,127,573.91/1,380.19
  6. Step 6: Final answer
    x = 6,613.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.