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Finding the Third Proportional to 2,327.48 and 5,065.03

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Solution

The third proportional to 2,327.48 and 5,065.03 is: 11,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.48 : 5,065.03 = 5,065.03 : x
  2. Step 2: Convert to fraction form
    2,327.48/5,065.03 = 5,065.03/x
  3. Step 3: Cross multiply
    2,327.48x = 5,065.03 × 5,065.03
  4. Step 4: Simplify right side
    2,327.48x = 25,654,541.56
  5. Step 5: Solve for x
    x = 25,654,541.56/2,327.48
  6. Step 6: Final answer
    x = 11,022.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.