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Finding the Third Proportional to 2,669.91 and 4,194.28

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Solution

The third proportional to 2,669.91 and 4,194.28 is: 6,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.91 : 4,194.28 = 4,194.28 : x
  2. Step 2: Convert to fraction form
    2,669.91/4,194.28 = 4,194.28/x
  3. Step 3: Cross multiply
    2,669.91x = 4,194.28 × 4,194.28
  4. Step 4: Simplify right side
    2,669.91x = 17,591,995.20
  5. Step 5: Solve for x
    x = 17,591,995.20/2,669.91
  6. Step 6: Final answer
    x = 6,588.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.