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Finding the Third Proportional to 47,324.25 and 70,576.31

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Solution

The third proportional to 47,324.25 and 70,576.31 is: 105,252.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,324.25 : 70,576.31 = 70,576.31 : x
  2. Step 2: Convert to fraction form
    47,324.25/70,576.31 = 70,576.31/x
  3. Step 3: Cross multiply
    47,324.25x = 70,576.31 × 70,576.31
  4. Step 4: Simplify right side
    47,324.25x = 4,981,015,886.10
  5. Step 5: Solve for x
    x = 4,981,015,886.10/47,324.25
  6. Step 6: Final answer
    x = 105,252.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.