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Finding the Third Proportional to 48,829.50 and 73,767

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Solution

The third proportional to 48,829.50 and 73,767 is: 111,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,829.50 : 73,767 = 73,767 : x
  2. Step 2: Convert to fraction form
    48,829.50/73,767 = 73,767/x
  3. Step 3: Cross multiply
    48,829.50x = 73,767 × 73,767
  4. Step 4: Simplify right side
    48,829.50x = 5,441,570,289
  5. Step 5: Solve for x
    x = 5,441,570,289/48,829.50
  6. Step 6: Final answer
    x = 111,440.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.