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Finding the Third Proportional to 22,693 and 35,057

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Solution

The third proportional to 22,693 and 35,057 is: 54,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693 : 35,057 = 35,057 : x
  2. Step 2: Convert to fraction form
    22,693/35,057 = 35,057/x
  3. Step 3: Cross multiply
    22,693x = 35,057 × 35,057
  4. Step 4: Simplify right side
    22,693x = 1,228,993,249
  5. Step 5: Solve for x
    x = 1,228,993,249/22,693
  6. Step 6: Final answer
    x = 54,157.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.