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Finding the Third Proportional to 31,656 and 50,127

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Solution

The third proportional to 31,656 and 50,127 is: 79,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656 : 50,127 = 50,127 : x
  2. Step 2: Convert to fraction form
    31,656/50,127 = 50,127/x
  3. Step 3: Cross multiply
    31,656x = 50,127 × 50,127
  4. Step 4: Simplify right side
    31,656x = 2,512,716,129
  5. Step 5: Solve for x
    x = 2,512,716,129/31,656
  6. Step 6: Final answer
    x = 79,375.67

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.