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Finding the Third Proportional to 7,014 and 8,229

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Solution

The third proportional to 7,014 and 8,229 is: 9,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 8,229 = 8,229 : x
  2. Step 2: Convert to fraction form
    7,014/8,229 = 8,229/x
  3. Step 3: Cross multiply
    7,014x = 8,229 × 8,229
  4. Step 4: Simplify right side
    7,014x = 67,716,441
  5. Step 5: Solve for x
    x = 67,716,441/7,014
  6. Step 6: Final answer
    x = 9,654.47

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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.