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Finding the Third Proportional to 5,471 and 7,395

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Solution

The third proportional to 5,471 and 7,395 is: 9,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471 : 7,395 = 7,395 : x
  2. Step 2: Convert to fraction form
    5,471/7,395 = 7,395/x
  3. Step 3: Cross multiply
    5,471x = 7,395 × 7,395
  4. Step 4: Simplify right side
    5,471x = 54,686,025
  5. Step 5: Solve for x
    x = 54,686,025/5,471
  6. Step 6: Final answer
    x = 9,995.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.