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Finding the Third Proportional to 2,407.22 and 3,819.66

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Solution

The third proportional to 2,407.22 and 3,819.66 is: 6,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.22 : 3,819.66 = 3,819.66 : x
  2. Step 2: Convert to fraction form
    2,407.22/3,819.66 = 3,819.66/x
  3. Step 3: Cross multiply
    2,407.22x = 3,819.66 × 3,819.66
  4. Step 4: Simplify right side
    2,407.22x = 14,589,773.87
  5. Step 5: Solve for x
    x = 14,589,773.87/2,407.22
  6. Step 6: Final answer
    x = 6,060.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.