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Finding the Third Proportional to 5,298 and 7,699

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Solution

The third proportional to 5,298 and 7,699 is: 11,188.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,298 : 7,699 = 7,699 : x
  2. Step 2: Convert to fraction form
    5,298/7,699 = 7,699/x
  3. Step 3: Cross multiply
    5,298x = 7,699 × 7,699
  4. Step 4: Simplify right side
    5,298x = 59,274,601
  5. Step 5: Solve for x
    x = 59,274,601/5,298
  6. Step 6: Final answer
    x = 11,188.11

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.