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Finding the Third Proportional to 14,470 and 32,234

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Solution

The third proportional to 14,470 and 32,234 is: 71,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470 : 32,234 = 32,234 : x
  2. Step 2: Convert to fraction form
    14,470/32,234 = 32,234/x
  3. Step 3: Cross multiply
    14,470x = 32,234 × 32,234
  4. Step 4: Simplify right side
    14,470x = 1,039,030,756
  5. Step 5: Solve for x
    x = 1,039,030,756/14,470
  6. Step 6: Final answer
    x = 71,805.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.