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Finding the Third Proportional to 35,356 and 51,131

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Solution

The third proportional to 35,356 and 51,131 is: 73,944.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,356 : 51,131 = 51,131 : x
  2. Step 2: Convert to fraction form
    35,356/51,131 = 51,131/x
  3. Step 3: Cross multiply
    35,356x = 51,131 × 51,131
  4. Step 4: Simplify right side
    35,356x = 2,614,379,161
  5. Step 5: Solve for x
    x = 2,614,379,161/35,356
  6. Step 6: Final answer
    x = 73,944.43

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.