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Finding the Third Proportional to 6,422 and 6,974

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Solution

The third proportional to 6,422 and 6,974 is: 7,573.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,422 : 6,974 = 6,974 : x
  2. Step 2: Convert to fraction form
    6,422/6,974 = 6,974/x
  3. Step 3: Cross multiply
    6,422x = 6,974 × 6,974
  4. Step 4: Simplify right side
    6,422x = 48,636,676
  5. Step 5: Solve for x
    x = 48,636,676/6,422
  6. Step 6: Final answer
    x = 7,573.45

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.