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Finding the Third Proportional to 27,702 and 43,005

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Solution

The third proportional to 27,702 and 43,005 is: 66,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,702 : 43,005 = 43,005 : x
  2. Step 2: Convert to fraction form
    27,702/43,005 = 43,005/x
  3. Step 3: Cross multiply
    27,702x = 43,005 × 43,005
  4. Step 4: Simplify right side
    27,702x = 1,849,430,025
  5. Step 5: Solve for x
    x = 1,849,430,025/27,702
  6. Step 6: Final answer
    x = 66,761.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.