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Finding the Third Proportional to 2,523.66 and 4,104.42

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Solution

The third proportional to 2,523.66 and 4,104.42 is: 6,675.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.66 : 4,104.42 = 4,104.42 : x
  2. Step 2: Convert to fraction form
    2,523.66/4,104.42 = 4,104.42/x
  3. Step 3: Cross multiply
    2,523.66x = 4,104.42 × 4,104.42
  4. Step 4: Simplify right side
    2,523.66x = 16,846,278.93
  5. Step 5: Solve for x
    x = 16,846,278.93/2,523.66
  6. Step 6: Final answer
    x = 6,675.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.