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Finding the Third Proportional to 6,962 and 10,065

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Solution

The third proportional to 6,962 and 10,065 is: 14,551.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962 : 10,065 = 10,065 : x
  2. Step 2: Convert to fraction form
    6,962/10,065 = 10,065/x
  3. Step 3: Cross multiply
    6,962x = 10,065 × 10,065
  4. Step 4: Simplify right side
    6,962x = 101,304,225
  5. Step 5: Solve for x
    x = 101,304,225/6,962
  6. Step 6: Final answer
    x = 14,551.02

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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.