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Finding the Third Proportional to 6,472 and 7,288

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Solution

The third proportional to 6,472 and 7,288 is: 8,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472 : 7,288 = 7,288 : x
  2. Step 2: Convert to fraction form
    6,472/7,288 = 7,288/x
  3. Step 3: Cross multiply
    6,472x = 7,288 × 7,288
  4. Step 4: Simplify right side
    6,472x = 53,114,944
  5. Step 5: Solve for x
    x = 53,114,944/6,472
  6. Step 6: Final answer
    x = 8,206.88

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.