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Finding the Third Proportional to 4,098 and 4,914

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Solution

The third proportional to 4,098 and 4,914 is: 5,892.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 4,914 = 4,914 : x
  2. Step 2: Convert to fraction form
    4,098/4,914 = 4,914/x
  3. Step 3: Cross multiply
    4,098x = 4,914 × 4,914
  4. Step 4: Simplify right side
    4,098x = 24,147,396
  5. Step 5: Solve for x
    x = 24,147,396/4,098
  6. Step 6: Final answer
    x = 5,892.48

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.