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Finding the Third Proportional to 6,699 and 10,065

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Solution

The third proportional to 6,699 and 10,065 is: 15,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699 : 10,065 = 10,065 : x
  2. Step 2: Convert to fraction form
    6,699/10,065 = 10,065/x
  3. Step 3: Cross multiply
    6,699x = 10,065 × 10,065
  4. Step 4: Simplify right side
    6,699x = 101,304,225
  5. Step 5: Solve for x
    x = 101,304,225/6,699
  6. Step 6: Final answer
    x = 15,122.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.