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Finding the Third Proportional to 5,940 and 8,489

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Solution

The third proportional to 5,940 and 8,489 is: 12,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940 : 8,489 = 8,489 : x
  2. Step 2: Convert to fraction form
    5,940/8,489 = 8,489/x
  3. Step 3: Cross multiply
    5,940x = 8,489 × 8,489
  4. Step 4: Simplify right side
    5,940x = 72,063,121
  5. Step 5: Solve for x
    x = 72,063,121/5,940
  6. Step 6: Final answer
    x = 12,131.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.