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Finding the Third Proportional to 22,932.22 and 35,082.25

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Solution

The third proportional to 22,932.22 and 35,082.25 is: 53,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,932.22 : 35,082.25 = 35,082.25 : x
  2. Step 2: Convert to fraction form
    22,932.22/35,082.25 = 35,082.25/x
  3. Step 3: Cross multiply
    22,932.22x = 35,082.25 × 35,082.25
  4. Step 4: Simplify right side
    22,932.22x = 1,230,764,265.06
  5. Step 5: Solve for x
    x = 1,230,764,265.06/22,932.22
  6. Step 6: Final answer
    x = 53,669.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.