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Finding the Third Proportional to 1,793.92 and 3,805.00

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Solution

The third proportional to 1,793.92 and 3,805.00 is: 8,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.92 : 3,805.00 = 3,805.00 : x
  2. Step 2: Convert to fraction form
    1,793.92/3,805.00 = 3,805.00/x
  3. Step 3: Cross multiply
    1,793.92x = 3,805.00 × 3,805.00
  4. Step 4: Simplify right side
    1,793.92x = 14,477,995.27
  5. Step 5: Solve for x
    x = 14,477,995.27/1,793.92
  6. Step 6: Final answer
    x = 8,070.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.