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Finding the Third Proportional to 1,759.64 and 3,845.71

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Solution

The third proportional to 1,759.64 and 3,845.71 is: 8,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.64 : 3,845.71 = 3,845.71 : x
  2. Step 2: Convert to fraction form
    1,759.64/3,845.71 = 3,845.71/x
  3. Step 3: Cross multiply
    1,759.64x = 3,845.71 × 3,845.71
  4. Step 4: Simplify right side
    1,759.64x = 14,789,462.57
  5. Step 5: Solve for x
    x = 14,789,462.57/1,759.64
  6. Step 6: Final answer
    x = 8,404.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.