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Finding the Third Proportional to 14,134 and 32,863

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Solution

The third proportional to 14,134 and 32,863 is: 76,409.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,134 : 32,863 = 32,863 : x
  2. Step 2: Convert to fraction form
    14,134/32,863 = 32,863/x
  3. Step 3: Cross multiply
    14,134x = 32,863 × 32,863
  4. Step 4: Simplify right side
    14,134x = 1,079,976,769
  5. Step 5: Solve for x
    x = 1,079,976,769/14,134
  6. Step 6: Final answer
    x = 76,409.85

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.