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Finding the Third Proportional to 32,862 and 50,145

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Solution

The third proportional to 32,862 and 50,145 is: 76,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,862 : 50,145 = 50,145 : x
  2. Step 2: Convert to fraction form
    32,862/50,145 = 50,145/x
  3. Step 3: Cross multiply
    32,862x = 50,145 × 50,145
  4. Step 4: Simplify right side
    32,862x = 2,514,521,025
  5. Step 5: Solve for x
    x = 2,514,521,025/32,862
  6. Step 6: Final answer
    x = 76,517.59

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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.