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Finding the Third Proportional to 2,431.13 and 4,797.56

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Solution

The third proportional to 2,431.13 and 4,797.56 is: 9,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,431.13 : 4,797.56 = 4,797.56 : x
  2. Step 2: Convert to fraction form
    2,431.13/4,797.56 = 4,797.56/x
  3. Step 3: Cross multiply
    2,431.13x = 4,797.56 × 4,797.56
  4. Step 4: Simplify right side
    2,431.13x = 23,016,605.94
  5. Step 5: Solve for x
    x = 23,016,605.94/2,431.13
  6. Step 6: Final answer
    x = 9,467.47

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.