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Finding the Third Proportional to 12,274 and 28,637

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Solution

The third proportional to 12,274 and 28,637 is: 66,814.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,274 : 28,637 = 28,637 : x
  2. Step 2: Convert to fraction form
    12,274/28,637 = 28,637/x
  3. Step 3: Cross multiply
    12,274x = 28,637 × 28,637
  4. Step 4: Simplify right side
    12,274x = 820,077,769
  5. Step 5: Solve for x
    x = 820,077,769/12,274
  6. Step 6: Final answer
    x = 66,814.22

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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.