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Finding the Third Proportional to 4,098 and 7,548

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Solution

The third proportional to 4,098 and 7,548 is: 13,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098 : 7,548 = 7,548 : x
  2. Step 2: Convert to fraction form
    4,098/7,548 = 7,548/x
  3. Step 3: Cross multiply
    4,098x = 7,548 × 7,548
  4. Step 4: Simplify right side
    4,098x = 56,972,304
  5. Step 5: Solve for x
    x = 56,972,304/4,098
  6. Step 6: Final answer
    x = 13,902.47

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.