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Finding the Third Proportional to 4,098 and 5,643

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Solution

The third proportional to 4,098 and 5,643 is: 7,770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 5,643 = 5,643 : x
  2. Step 2: Convert to fraction form
    4,098/5,643 = 5,643/x
  3. Step 3: Cross multiply
    4,098x = 5,643 × 5,643
  4. Step 4: Simplify right side
    4,098x = 31,843,449
  5. Step 5: Solve for x
    x = 31,843,449/4,098
  6. Step 6: Final answer
    x = 7,770.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.