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Finding the Third Proportional to 35,764 and 54,107

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Solution

The third proportional to 35,764 and 54,107 is: 81,857.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,764 : 54,107 = 54,107 : x
  2. Step 2: Convert to fraction form
    35,764/54,107 = 54,107/x
  3. Step 3: Cross multiply
    35,764x = 54,107 × 54,107
  4. Step 4: Simplify right side
    35,764x = 2,927,567,449
  5. Step 5: Solve for x
    x = 2,927,567,449/35,764
  6. Step 6: Final answer
    x = 81,857.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.