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Finding the Third Proportional to 25,834.50 and 34,899.75

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Solution

The third proportional to 25,834.50 and 34,899.75 is: 47,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,834.50 : 34,899.75 = 34,899.75 : x
  2. Step 2: Convert to fraction form
    25,834.50/34,899.75 = 34,899.75/x
  3. Step 3: Cross multiply
    25,834.50x = 34,899.75 × 34,899.75
  4. Step 4: Simplify right side
    25,834.50x = 1,217,992,550.06
  5. Step 5: Solve for x
    x = 1,217,992,550.06/25,834.50
  6. Step 6: Final answer
    x = 47,145.97

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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.