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Finding the Third Proportional to 27,029 and 40,503

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Solution

The third proportional to 27,029 and 40,503 is: 60,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,029 : 40,503 = 40,503 : x
  2. Step 2: Convert to fraction form
    27,029/40,503 = 40,503/x
  3. Step 3: Cross multiply
    27,029x = 40,503 × 40,503
  4. Step 4: Simplify right side
    27,029x = 1,640,493,009
  5. Step 5: Solve for x
    x = 1,640,493,009/27,029
  6. Step 6: Final answer
    x = 60,693.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.