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Finding the Third Proportional to 6,048 and 6,898

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Solution

The third proportional to 6,048 and 6,898 is: 7,867.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 6,898 = 6,898 : x
  2. Step 2: Convert to fraction form
    6,048/6,898 = 6,898/x
  3. Step 3: Cross multiply
    6,048x = 6,898 × 6,898
  4. Step 4: Simplify right side
    6,048x = 47,582,404
  5. Step 5: Solve for x
    x = 47,582,404/6,048
  6. Step 6: Final answer
    x = 7,867.46

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.