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Finding the Third Proportional to 31,920.33 and 69,581.53

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Solution

The third proportional to 31,920.33 and 69,581.53 is: 151,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.33 : 69,581.53 = 69,581.53 : x
  2. Step 2: Convert to fraction form
    31,920.33/69,581.53 = 69,581.53/x
  3. Step 3: Cross multiply
    31,920.33x = 69,581.53 × 69,581.53
  4. Step 4: Simplify right side
    31,920.33x = 4,841,589,491.09
  5. Step 5: Solve for x
    x = 4,841,589,491.09/31,920.33
  6. Step 6: Final answer
    x = 151,677.31

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.