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Finding the Third Proportional to 25,813.69 and 34,738.88

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Solution

The third proportional to 25,813.69 and 34,738.88 is: 46,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.69 : 34,738.88 = 34,738.88 : x
  2. Step 2: Convert to fraction form
    25,813.69/34,738.88 = 34,738.88/x
  3. Step 3: Cross multiply
    25,813.69x = 34,738.88 × 34,738.88
  4. Step 4: Simplify right side
    25,813.69x = 1,206,789,436.27
  5. Step 5: Solve for x
    x = 1,206,789,436.27/25,813.69
  6. Step 6: Final answer
    x = 46,749.98

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.