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Finding the Third Proportional to 25,990.38 and 40,227.63

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Solution

The third proportional to 25,990.38 and 40,227.63 is: 62,263.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,990.38 : 40,227.63 = 40,227.63 : x
  2. Step 2: Convert to fraction form
    25,990.38/40,227.63 = 40,227.63/x
  3. Step 3: Cross multiply
    25,990.38x = 40,227.63 × 40,227.63
  4. Step 4: Simplify right side
    25,990.38x = 1,618,261,813.14
  5. Step 5: Solve for x
    x = 1,618,261,813.14/25,990.38
  6. Step 6: Final answer
    x = 62,263.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.