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Finding the Third Proportional to 2,104.10 and 4,625.86

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Solution

The third proportional to 2,104.10 and 4,625.86 is: 10,169.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.10 : 4,625.86 = 4,625.86 : x
  2. Step 2: Convert to fraction form
    2,104.10/4,625.86 = 4,625.86/x
  3. Step 3: Cross multiply
    2,104.10x = 4,625.86 × 4,625.86
  4. Step 4: Simplify right side
    2,104.10x = 21,398,574.96
  5. Step 5: Solve for x
    x = 21,398,574.96/2,104.10
  6. Step 6: Final answer
    x = 10,169.93

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.