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Finding the Third Proportional to 41,662.50 and 91,663

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Solution

The third proportional to 41,662.50 and 91,663 is: 201,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,662.50 : 91,663 = 91,663 : x
  2. Step 2: Convert to fraction form
    41,662.50/91,663 = 91,663/x
  3. Step 3: Cross multiply
    41,662.50x = 91,663 × 91,663
  4. Step 4: Simplify right side
    41,662.50x = 8,402,105,569
  5. Step 5: Solve for x
    x = 8,402,105,569/41,662.50
  6. Step 6: Final answer
    x = 201,670.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.