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Finding the Third Proportional to 1,807.95 and 3,846.02

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Solution

The third proportional to 1,807.95 and 3,846.02 is: 8,181.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.95 : 3,846.02 = 3,846.02 : x
  2. Step 2: Convert to fraction form
    1,807.95/3,846.02 = 3,846.02/x
  3. Step 3: Cross multiply
    1,807.95x = 3,846.02 × 3,846.02
  4. Step 4: Simplify right side
    1,807.95x = 14,791,896.28
  5. Step 5: Solve for x
    x = 14,791,896.28/1,807.95
  6. Step 6: Final answer
    x = 8,181.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.