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Finding the Third Proportional to 31,955.34 and 50,131.41

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Solution

The third proportional to 31,955.34 and 50,131.41 is: 78,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955.34 : 50,131.41 = 50,131.41 : x
  2. Step 2: Convert to fraction form
    31,955.34/50,131.41 = 50,131.41/x
  3. Step 3: Cross multiply
    31,955.34x = 50,131.41 × 50,131.41
  4. Step 4: Simplify right side
    31,955.34x = 2,513,157,892.60
  5. Step 5: Solve for x
    x = 2,513,157,892.60/31,955.34
  6. Step 6: Final answer
    x = 78,645.94

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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.