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Finding the Third Proportional to 25,885.20 and 41,288.17

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Solution

The third proportional to 25,885.20 and 41,288.17 is: 65,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,885.20 : 41,288.17 = 41,288.17 : x
  2. Step 2: Convert to fraction form
    25,885.20/41,288.17 = 41,288.17/x
  3. Step 3: Cross multiply
    25,885.20x = 41,288.17 × 41,288.17
  4. Step 4: Simplify right side
    25,885.20x = 1,704,712,814.22
  5. Step 5: Solve for x
    x = 1,704,712,814.22/25,885.20
  6. Step 6: Final answer
    x = 65,856.67

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.