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Finding the Third Proportional to 1,804.78 and 3,753.84

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Solution

The third proportional to 1,804.78 and 3,753.84 is: 7,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,804.78 : 3,753.84 = 3,753.84 : x
  2. Step 2: Convert to fraction form
    1,804.78/3,753.84 = 3,753.84/x
  3. Step 3: Cross multiply
    1,804.78x = 3,753.84 × 3,753.84
  4. Step 4: Simplify right side
    1,804.78x = 14,091,342.90
  5. Step 5: Solve for x
    x = 14,091,342.90/1,804.78
  6. Step 6: Final answer
    x = 7,807.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.