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Finding the Third Proportional to 25,958.25 and 34,085.25

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Solution

The third proportional to 25,958.25 and 34,085.25 is: 44,756.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,958.25 : 34,085.25 = 34,085.25 : x
  2. Step 2: Convert to fraction form
    25,958.25/34,085.25 = 34,085.25/x
  3. Step 3: Cross multiply
    25,958.25x = 34,085.25 × 34,085.25
  4. Step 4: Simplify right side
    25,958.25x = 1,161,804,267.56
  5. Step 5: Solve for x
    x = 1,161,804,267.56/25,958.25
  6. Step 6: Final answer
    x = 44,756.65

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.