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Finding the Third Proportional to 2,392.31 and 5,069.25

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Solution

The third proportional to 2,392.31 and 5,069.25 is: 10,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.31 : 5,069.25 = 5,069.25 : x
  2. Step 2: Convert to fraction form
    2,392.31/5,069.25 = 5,069.25/x
  3. Step 3: Cross multiply
    2,392.31x = 5,069.25 × 5,069.25
  4. Step 4: Simplify right side
    2,392.31x = 25,697,295.56
  5. Step 5: Solve for x
    x = 25,697,295.56/2,392.31
  6. Step 6: Final answer
    x = 10,741.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.