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Finding the Third Proportional to 19,324.20 and 28,294.31

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Solution

The third proportional to 19,324.20 and 28,294.31 is: 41,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324.20 : 28,294.31 = 28,294.31 : x
  2. Step 2: Convert to fraction form
    19,324.20/28,294.31 = 28,294.31/x
  3. Step 3: Cross multiply
    19,324.20x = 28,294.31 × 28,294.31
  4. Step 4: Simplify right side
    19,324.20x = 800,568,119.85
  5. Step 5: Solve for x
    x = 800,568,119.85/19,324.20
  6. Step 6: Final answer
    x = 41,428.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.