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Finding the Third Proportional to 6,489 and 10,037

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Solution

The third proportional to 6,489 and 10,037 is: 15,524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489 : 10,037 = 10,037 : x
  2. Step 2: Convert to fraction form
    6,489/10,037 = 10,037/x
  3. Step 3: Cross multiply
    6,489x = 10,037 × 10,037
  4. Step 4: Simplify right side
    6,489x = 100,741,369
  5. Step 5: Solve for x
    x = 100,741,369/6,489
  6. Step 6: Final answer
    x = 15,524.95

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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.