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Finding the Third Proportional to 34,364.25 and 80,291.25

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Solution

The third proportional to 34,364.25 and 80,291.25 is: 187,598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,364.25 : 80,291.25 = 80,291.25 : x
  2. Step 2: Convert to fraction form
    34,364.25/80,291.25 = 80,291.25/x
  3. Step 3: Cross multiply
    34,364.25x = 80,291.25 × 80,291.25
  4. Step 4: Simplify right side
    34,364.25x = 6,446,684,826.56
  5. Step 5: Solve for x
    x = 6,446,684,826.56/34,364.25
  6. Step 6: Final answer
    x = 187,598.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.