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Finding the Third Proportional to 6,622 and 7,342

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Solution

The third proportional to 6,622 and 7,342 is: 8,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622 : 7,342 = 7,342 : x
  2. Step 2: Convert to fraction form
    6,622/7,342 = 7,342/x
  3. Step 3: Cross multiply
    6,622x = 7,342 × 7,342
  4. Step 4: Simplify right side
    6,622x = 53,904,964
  5. Step 5: Solve for x
    x = 53,904,964/6,622
  6. Step 6: Final answer
    x = 8,140.28

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.