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Finding the Third Proportional to 14,512 and 32,262

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Solution

The third proportional to 14,512 and 32,262 is: 71,722.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,512 : 32,262 = 32,262 : x
  2. Step 2: Convert to fraction form
    14,512/32,262 = 32,262/x
  3. Step 3: Cross multiply
    14,512x = 32,262 × 32,262
  4. Step 4: Simplify right side
    14,512x = 1,040,836,644
  5. Step 5: Solve for x
    x = 1,040,836,644/14,512
  6. Step 6: Final answer
    x = 71,722.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.