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Finding the Third Proportional to 4,965 and 7,720

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Solution

The third proportional to 4,965 and 7,720 is: 12,003.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965 : 7,720 = 7,720 : x
  2. Step 2: Convert to fraction form
    4,965/7,720 = 7,720/x
  3. Step 3: Cross multiply
    4,965x = 7,720 × 7,720
  4. Step 4: Simplify right side
    4,965x = 59,598,400
  5. Step 5: Solve for x
    x = 59,598,400/4,965
  6. Step 6: Final answer
    x = 12,003.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.