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Finding the Third Proportional to 3,807.84 and 5,557.78

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Solution

The third proportional to 3,807.84 and 5,557.78 is: 8,111.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.84 : 5,557.78 = 5,557.78 : x
  2. Step 2: Convert to fraction form
    3,807.84/5,557.78 = 5,557.78/x
  3. Step 3: Cross multiply
    3,807.84x = 5,557.78 × 5,557.78
  4. Step 4: Simplify right side
    3,807.84x = 30,888,932.42
  5. Step 5: Solve for x
    x = 30,888,932.42/3,807.84
  6. Step 6: Final answer
    x = 8,111.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.