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Finding the Third Proportional to 2,538 and 3,623

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Solution

The third proportional to 2,538 and 3,623 is: 5,171.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538 : 3,623 = 3,623 : x
  2. Step 2: Convert to fraction form
    2,538/3,623 = 3,623/x
  3. Step 3: Cross multiply
    2,538x = 3,623 × 3,623
  4. Step 4: Simplify right side
    2,538x = 13,126,129
  5. Step 5: Solve for x
    x = 13,126,129/2,538
  6. Step 6: Final answer
    x = 5,171.84

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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.