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Finding the Third Proportional to 2,405.06 and 3,759.56

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Solution

The third proportional to 2,405.06 and 3,759.56 is: 5,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.06 : 3,759.56 = 3,759.56 : x
  2. Step 2: Convert to fraction form
    2,405.06/3,759.56 = 3,759.56/x
  3. Step 3: Cross multiply
    2,405.06x = 3,759.56 × 3,759.56
  4. Step 4: Simplify right side
    2,405.06x = 14,134,310.19
  5. Step 5: Solve for x
    x = 14,134,310.19/2,405.06
  6. Step 6: Final answer
    x = 5,876.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.