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Finding the Third Proportional to 33,597 and 51,057

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Solution

The third proportional to 33,597 and 51,057 is: 77,590.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597 : 51,057 = 51,057 : x
  2. Step 2: Convert to fraction form
    33,597/51,057 = 51,057/x
  3. Step 3: Cross multiply
    33,597x = 51,057 × 51,057
  4. Step 4: Simplify right side
    33,597x = 2,606,817,249
  5. Step 5: Solve for x
    x = 2,606,817,249/33,597
  6. Step 6: Final answer
    x = 77,590.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.