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Finding the Third Proportional to 14,082.50 and 26,390.75

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Solution

The third proportional to 14,082.50 and 26,390.75 is: 49,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,082.50 : 26,390.75 = 26,390.75 : x
  2. Step 2: Convert to fraction form
    14,082.50/26,390.75 = 26,390.75/x
  3. Step 3: Cross multiply
    14,082.50x = 26,390.75 × 26,390.75
  4. Step 4: Simplify right side
    14,082.50x = 696,471,685.56
  5. Step 5: Solve for x
    x = 696,471,685.56/14,082.50
  6. Step 6: Final answer
    x = 49,456.54

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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.