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Finding the Third Proportional to 5,782 and 8,965

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Solution

The third proportional to 5,782 and 8,965 is: 13,900.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782 : 8,965 = 8,965 : x
  2. Step 2: Convert to fraction form
    5,782/8,965 = 8,965/x
  3. Step 3: Cross multiply
    5,782x = 8,965 × 8,965
  4. Step 4: Simplify right side
    5,782x = 80,371,225
  5. Step 5: Solve for x
    x = 80,371,225/5,782
  6. Step 6: Final answer
    x = 13,900.25

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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.