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Finding the Third Proportional to 14,132 and 32,852

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Solution

The third proportional to 14,132 and 32,852 is: 76,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,132 : 32,852 = 32,852 : x
  2. Step 2: Convert to fraction form
    14,132/32,852 = 32,852/x
  3. Step 3: Cross multiply
    14,132x = 32,852 × 32,852
  4. Step 4: Simplify right side
    14,132x = 1,079,253,904
  5. Step 5: Solve for x
    x = 1,079,253,904/14,132
  6. Step 6: Final answer
    x = 76,369.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.