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Finding the Third Proportional to 2,431.27 and 2,700.84

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Solution

The third proportional to 2,431.27 and 2,700.84 is: 3,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.27 : 2,700.84 = 2,700.84 : x
  2. Step 2: Convert to fraction form
    2,431.27/2,700.84 = 2,700.84/x
  3. Step 3: Cross multiply
    2,431.27x = 2,700.84 × 2,700.84
  4. Step 4: Simplify right side
    2,431.27x = 7,294,556.96
  5. Step 5: Solve for x
    x = 7,294,556.96/2,431.27
  6. Step 6: Final answer
    x = 3,000.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.