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Finding the Third Proportional to 2,741.34 and 4,000.96

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Solution

The third proportional to 2,741.34 and 4,000.96 is: 5,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.34 : 4,000.96 = 4,000.96 : x
  2. Step 2: Convert to fraction form
    2,741.34/4,000.96 = 4,000.96/x
  3. Step 3: Cross multiply
    2,741.34x = 4,000.96 × 4,000.96
  4. Step 4: Simplify right side
    2,741.34x = 16,007,657.17
  5. Step 5: Solve for x
    x = 16,007,657.17/2,741.34
  6. Step 6: Final answer
    x = 5,839.35

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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.