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Finding the Third Proportional to 4,254.19 and 5,956.03

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Solution

The third proportional to 4,254.19 and 5,956.03 is: 8,338.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.19 : 5,956.03 = 5,956.03 : x
  2. Step 2: Convert to fraction form
    4,254.19/5,956.03 = 5,956.03/x
  3. Step 3: Cross multiply
    4,254.19x = 5,956.03 × 5,956.03
  4. Step 4: Simplify right side
    4,254.19x = 35,474,308.25
  5. Step 5: Solve for x
    x = 35,474,308.25/4,254.19
  6. Step 6: Final answer
    x = 8,338.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.