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Finding the Third Proportional to 35,932 and 51,796

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Solution

The third proportional to 35,932 and 51,796 is: 74,663.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,932 : 51,796 = 51,796 : x
  2. Step 2: Convert to fraction form
    35,932/51,796 = 51,796/x
  3. Step 3: Cross multiply
    35,932x = 51,796 × 51,796
  4. Step 4: Simplify right side
    35,932x = 2,682,825,616
  5. Step 5: Solve for x
    x = 2,682,825,616/35,932
  6. Step 6: Final answer
    x = 74,663.97

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.