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Finding the Third Proportional to 2,578.08 and 4,005.07

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Solution

The third proportional to 2,578.08 and 4,005.07 is: 6,221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578.08 : 4,005.07 = 4,005.07 : x
  2. Step 2: Convert to fraction form
    2,578.08/4,005.07 = 4,005.07/x
  3. Step 3: Cross multiply
    2,578.08x = 4,005.07 × 4,005.07
  4. Step 4: Simplify right side
    2,578.08x = 16,040,588.21
  5. Step 5: Solve for x
    x = 16,040,588.21/2,578.08
  6. Step 6: Final answer
    x = 6,221.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.