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Finding the Third Proportional to 14,274 and 22,732

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Solution

The third proportional to 14,274 and 22,732 is: 36,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274 : 22,732 = 22,732 : x
  2. Step 2: Convert to fraction form
    14,274/22,732 = 22,732/x
  3. Step 3: Cross multiply
    14,274x = 22,732 × 22,732
  4. Step 4: Simplify right side
    14,274x = 516,743,824
  5. Step 5: Solve for x
    x = 516,743,824/14,274
  6. Step 6: Final answer
    x = 36,201.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.