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Finding the Third Proportional to 2,322.42 and 5,115.66

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Solution

The third proportional to 2,322.42 and 5,115.66 is: 11,268.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.42 : 5,115.66 = 5,115.66 : x
  2. Step 2: Convert to fraction form
    2,322.42/5,115.66 = 5,115.66/x
  3. Step 3: Cross multiply
    2,322.42x = 5,115.66 × 5,115.66
  4. Step 4: Simplify right side
    2,322.42x = 26,169,938.87
  5. Step 5: Solve for x
    x = 26,169,938.87/2,322.42
  6. Step 6: Final answer
    x = 11,268.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.