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Finding the Third Proportional to 31,964.63 and 50,032.69

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Solution

The third proportional to 31,964.63 and 50,032.69 is: 78,313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,964.63 : 50,032.69 = 50,032.69 : x
  2. Step 2: Convert to fraction form
    31,964.63/50,032.69 = 50,032.69/x
  3. Step 3: Cross multiply
    31,964.63x = 50,032.69 × 50,032.69
  4. Step 4: Simplify right side
    31,964.63x = 2,503,269,818.47
  5. Step 5: Solve for x
    x = 2,503,269,818.47/31,964.63
  6. Step 6: Final answer
    x = 78,313.76

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.