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Finding the Third Proportional to 25,082.16 and 33,454.27

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Solution

The third proportional to 25,082.16 and 33,454.27 is: 44,620.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,082.16 : 33,454.27 = 33,454.27 : x
  2. Step 2: Convert to fraction form
    25,082.16/33,454.27 = 33,454.27/x
  3. Step 3: Cross multiply
    25,082.16x = 33,454.27 × 33,454.27
  4. Step 4: Simplify right side
    25,082.16x = 1,119,187,888.51
  5. Step 5: Solve for x
    x = 1,119,187,888.51/25,082.16
  6. Step 6: Final answer
    x = 44,620.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.