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Finding the Third Proportional to 30,702 and 41,256

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Solution

The third proportional to 30,702 and 41,256 is: 55,438.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702 : 41,256 = 41,256 : x
  2. Step 2: Convert to fraction form
    30,702/41,256 = 41,256/x
  3. Step 3: Cross multiply
    30,702x = 41,256 × 41,256
  4. Step 4: Simplify right side
    30,702x = 1,702,057,536
  5. Step 5: Solve for x
    x = 1,702,057,536/30,702
  6. Step 6: Final answer
    x = 55,438.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.