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Finding the Third Proportional to 41,401.50 and 87,733.50

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Solution

The third proportional to 41,401.50 and 87,733.50 is: 185,915.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,401.50 : 87,733.50 = 87,733.50 : x
  2. Step 2: Convert to fraction form
    41,401.50/87,733.50 = 87,733.50/x
  3. Step 3: Cross multiply
    41,401.50x = 87,733.50 × 87,733.50
  4. Step 4: Simplify right side
    41,401.50x = 7,697,167,022.25
  5. Step 5: Solve for x
    x = 7,697,167,022.25/41,401.50
  6. Step 6: Final answer
    x = 185,915.17

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.