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Finding the Third Proportional to 6,599 and 7,301

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Solution

The third proportional to 6,599 and 7,301 is: 8,077.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599 : 7,301 = 7,301 : x
  2. Step 2: Convert to fraction form
    6,599/7,301 = 7,301/x
  3. Step 3: Cross multiply
    6,599x = 7,301 × 7,301
  4. Step 4: Simplify right side
    6,599x = 53,304,601
  5. Step 5: Solve for x
    x = 53,304,601/6,599
  6. Step 6: Final answer
    x = 8,077.68

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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.