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Finding the Third Proportional to 6,471 and 7,143

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Solution

The third proportional to 6,471 and 7,143 is: 7,884.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471 : 7,143 = 7,143 : x
  2. Step 2: Convert to fraction form
    6,471/7,143 = 7,143/x
  3. Step 3: Cross multiply
    6,471x = 7,143 × 7,143
  4. Step 4: Simplify right side
    6,471x = 51,022,449
  5. Step 5: Solve for x
    x = 51,022,449/6,471
  6. Step 6: Final answer
    x = 7,884.79

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.