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Finding the Third Proportional to 31,733.25 and 48,615.75

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Solution

The third proportional to 31,733.25 and 48,615.75 is: 74,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,733.25 : 48,615.75 = 48,615.75 : x
  2. Step 2: Convert to fraction form
    31,733.25/48,615.75 = 48,615.75/x
  3. Step 3: Cross multiply
    31,733.25x = 48,615.75 × 48,615.75
  4. Step 4: Simplify right side
    31,733.25x = 2,363,491,148.06
  5. Step 5: Solve for x
    x = 2,363,491,148.06/31,733.25
  6. Step 6: Final answer
    x = 74,479.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.