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Finding the Third Proportional to 48,471.75 and 71,111.25

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Solution

The third proportional to 48,471.75 and 71,111.25 is: 104,324.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.75 : 71,111.25 = 71,111.25 : x
  2. Step 2: Convert to fraction form
    48,471.75/71,111.25 = 71,111.25/x
  3. Step 3: Cross multiply
    48,471.75x = 71,111.25 × 71,111.25
  4. Step 4: Simplify right side
    48,471.75x = 5,056,809,876.56
  5. Step 5: Solve for x
    x = 5,056,809,876.56/48,471.75
  6. Step 6: Final answer
    x = 104,324.89

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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.