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Finding the Third Proportional to 31,072.50 and 46,608.75

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Solution

The third proportional to 31,072.50 and 46,608.75 is: 69,913.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,072.50 : 46,608.75 = 46,608.75 : x
  2. Step 2: Convert to fraction form
    31,072.50/46,608.75 = 46,608.75/x
  3. Step 3: Cross multiply
    31,072.50x = 46,608.75 × 46,608.75
  4. Step 4: Simplify right side
    31,072.50x = 2,172,375,576.56
  5. Step 5: Solve for x
    x = 2,172,375,576.56/31,072.50
  6. Step 6: Final answer
    x = 69,913.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.