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Finding the Third Proportional to 27,287 and 40,763

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Solution

The third proportional to 27,287 and 40,763 is: 60,894.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287 : 40,763 = 40,763 : x
  2. Step 2: Convert to fraction form
    27,287/40,763 = 40,763/x
  3. Step 3: Cross multiply
    27,287x = 40,763 × 40,763
  4. Step 4: Simplify right side
    27,287x = 1,661,622,169
  5. Step 5: Solve for x
    x = 1,661,622,169/27,287
  6. Step 6: Final answer
    x = 60,894.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.