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Finding the Third Proportional to 25,856.50 and 55,671

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Solution

The third proportional to 25,856.50 and 55,671 is: 119,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,856.50 : 55,671 = 55,671 : x
  2. Step 2: Convert to fraction form
    25,856.50/55,671 = 55,671/x
  3. Step 3: Cross multiply
    25,856.50x = 55,671 × 55,671
  4. Step 4: Simplify right side
    25,856.50x = 3,099,260,241
  5. Step 5: Solve for x
    x = 3,099,260,241/25,856.50
  6. Step 6: Final answer
    x = 119,863.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.