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Finding the Third Proportional to 5,301 and 7,965

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Solution

The third proportional to 5,301 and 7,965 is: 11,967.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301 : 7,965 = 7,965 : x
  2. Step 2: Convert to fraction form
    5,301/7,965 = 7,965/x
  3. Step 3: Cross multiply
    5,301x = 7,965 × 7,965
  4. Step 4: Simplify right side
    5,301x = 63,441,225
  5. Step 5: Solve for x
    x = 63,441,225/5,301
  6. Step 6: Final answer
    x = 11,967.78

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Why These Related Problems?

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