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Finding the Third Proportional to 25,845.75 and 34,025.06

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Solution

The third proportional to 25,845.75 and 34,025.06 is: 44,792.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,845.75 : 34,025.06 = 34,025.06 : x
  2. Step 2: Convert to fraction form
    25,845.75/34,025.06 = 34,025.06/x
  3. Step 3: Cross multiply
    25,845.75x = 34,025.06 × 34,025.06
  4. Step 4: Simplify right side
    25,845.75x = 1,157,704,878.13
  5. Step 5: Solve for x
    x = 1,157,704,878.13/25,845.75
  6. Step 6: Final answer
    x = 44,792.85

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.