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Finding the Third Proportional to 3,538 and 5,057

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Solution

The third proportional to 3,538 and 5,057 is: 7,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,538 : 5,057 = 5,057 : x
  2. Step 2: Convert to fraction form
    3,538/5,057 = 5,057/x
  3. Step 3: Cross multiply
    3,538x = 5,057 × 5,057
  4. Step 4: Simplify right side
    3,538x = 25,573,249
  5. Step 5: Solve for x
    x = 25,573,249/3,538
  6. Step 6: Final answer
    x = 7,228.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.