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Finding the Third Proportional to 1,665.28 and 3,844.97

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Solution

The third proportional to 1,665.28 and 3,844.97 is: 8,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,665.28 : 3,844.97 = 3,844.97 : x
  2. Step 2: Convert to fraction form
    1,665.28/3,844.97 = 3,844.97/x
  3. Step 3: Cross multiply
    1,665.28x = 3,844.97 × 3,844.97
  4. Step 4: Simplify right side
    1,665.28x = 14,783,784.69
  5. Step 5: Solve for x
    x = 14,783,784.69/1,665.28
  6. Step 6: Final answer
    x = 8,877.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.