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Finding the Third Proportional to 4,965 and 8,269.50

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Solution

The third proportional to 4,965 and 8,269.50 is: 13,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965 : 8,269.50 = 8,269.50 : x
  2. Step 2: Convert to fraction form
    4,965/8,269.50 = 8,269.50/x
  3. Step 3: Cross multiply
    4,965x = 8,269.50 × 8,269.50
  4. Step 4: Simplify right side
    4,965x = 68,384,630.25
  5. Step 5: Solve for x
    x = 68,384,630.25/4,965
  6. Step 6: Final answer
    x = 13,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.