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Finding the Third Proportional to 35,202 and 51,866

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Solution

The third proportional to 35,202 and 51,866 is: 76,418.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,202 : 51,866 = 51,866 : x
  2. Step 2: Convert to fraction form
    35,202/51,866 = 51,866/x
  3. Step 3: Cross multiply
    35,202x = 51,866 × 51,866
  4. Step 4: Simplify right side
    35,202x = 2,690,081,956
  5. Step 5: Solve for x
    x = 2,690,081,956/35,202
  6. Step 6: Final answer
    x = 76,418.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.