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Finding the Third Proportional to 2,288.25 and 4,885.31

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Solution

The third proportional to 2,288.25 and 4,885.31 is: 10,429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.25 : 4,885.31 = 4,885.31 : x
  2. Step 2: Convert to fraction form
    2,288.25/4,885.31 = 4,885.31/x
  3. Step 3: Cross multiply
    2,288.25x = 4,885.31 × 4,885.31
  4. Step 4: Simplify right side
    2,288.25x = 23,866,278.22
  5. Step 5: Solve for x
    x = 23,866,278.22/2,288.25
  6. Step 6: Final answer
    x = 10,429.93

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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.