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Finding the Third Proportional to 31,360.50 and 67,034.25

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Solution

The third proportional to 31,360.50 and 67,034.25 is: 143,288.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,360.50 : 67,034.25 = 67,034.25 : x
  2. Step 2: Convert to fraction form
    31,360.50/67,034.25 = 67,034.25/x
  3. Step 3: Cross multiply
    31,360.50x = 67,034.25 × 67,034.25
  4. Step 4: Simplify right side
    31,360.50x = 4,493,590,673.06
  5. Step 5: Solve for x
    x = 4,493,590,673.06/31,360.50
  6. Step 6: Final answer
    x = 143,288.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.