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Finding the Third Proportional to 3,144.19 and 4,281.56

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Solution

The third proportional to 3,144.19 and 4,281.56 is: 5,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,144.19 : 4,281.56 = 4,281.56 : x
  2. Step 2: Convert to fraction form
    3,144.19/4,281.56 = 4,281.56/x
  3. Step 3: Cross multiply
    3,144.19x = 4,281.56 × 4,281.56
  4. Step 4: Simplify right side
    3,144.19x = 18,331,777.44
  5. Step 5: Solve for x
    x = 18,331,777.44/3,144.19
  6. Step 6: Final answer
    x = 5,830.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.