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Finding the Third Proportional to 7,037 and 8,225

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Solution

The third proportional to 7,037 and 8,225 is: 9,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,037 : 8,225 = 8,225 : x
  2. Step 2: Convert to fraction form
    7,037/8,225 = 8,225/x
  3. Step 3: Cross multiply
    7,037x = 8,225 × 8,225
  4. Step 4: Simplify right side
    7,037x = 67,650,625
  5. Step 5: Solve for x
    x = 67,650,625/7,037
  6. Step 6: Final answer
    x = 9,613.56

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.