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Finding the Third Proportional to 48,400.50 and 71,013

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Solution

The third proportional to 48,400.50 and 71,013 is: 104,189.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,400.50 : 71,013 = 71,013 : x
  2. Step 2: Convert to fraction form
    48,400.50/71,013 = 71,013/x
  3. Step 3: Cross multiply
    48,400.50x = 71,013 × 71,013
  4. Step 4: Simplify right side
    48,400.50x = 5,042,846,169
  5. Step 5: Solve for x
    x = 5,042,846,169/48,400.50
  6. Step 6: Final answer
    x = 104,189.96

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.