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Finding the Third Proportional to 49,662 and 73,519.50

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Solution

The third proportional to 49,662 and 73,519.50 is: 108,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,662 : 73,519.50 = 73,519.50 : x
  2. Step 2: Convert to fraction form
    49,662/73,519.50 = 73,519.50/x
  3. Step 3: Cross multiply
    49,662x = 73,519.50 × 73,519.50
  4. Step 4: Simplify right side
    49,662x = 5,405,116,880.25
  5. Step 5: Solve for x
    x = 5,405,116,880.25/49,662
  6. Step 6: Final answer
    x = 108,838.08

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.