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Finding the Third Proportional to 2,077.73 and 4,464.28

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Solution

The third proportional to 2,077.73 and 4,464.28 is: 9,592.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.73 : 4,464.28 = 4,464.28 : x
  2. Step 2: Convert to fraction form
    2,077.73/4,464.28 = 4,464.28/x
  3. Step 3: Cross multiply
    2,077.73x = 4,464.28 × 4,464.28
  4. Step 4: Simplify right side
    2,077.73x = 19,929,807.08
  5. Step 5: Solve for x
    x = 19,929,807.08/2,077.73
  6. Step 6: Final answer
    x = 9,592.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.