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Finding the Third Proportional to 53,471.81 and 74,761.31

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Solution

The third proportional to 53,471.81 and 74,761.31 is: 104,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,471.81 : 74,761.31 = 74,761.31 : x
  2. Step 2: Convert to fraction form
    53,471.81/74,761.31 = 74,761.31/x
  3. Step 3: Cross multiply
    53,471.81x = 74,761.31 × 74,761.31
  4. Step 4: Simplify right side
    53,471.81x = 5,589,253,846.72
  5. Step 5: Solve for x
    x = 5,589,253,846.72/53,471.81
  6. Step 6: Final answer
    x = 104,527.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.