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Finding the Third Proportional to 32,782 and 50,127

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Solution

The third proportional to 32,782 and 50,127 is: 76,649.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782 : 50,127 = 50,127 : x
  2. Step 2: Convert to fraction form
    32,782/50,127 = 50,127/x
  3. Step 3: Cross multiply
    32,782x = 50,127 × 50,127
  4. Step 4: Simplify right side
    32,782x = 2,512,716,129
  5. Step 5: Solve for x
    x = 2,512,716,129/32,782
  6. Step 6: Final answer
    x = 76,649.26

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Why These Related Problems?

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