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Finding the Third Proportional to 6,417 and 6,957

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Solution

The third proportional to 6,417 and 6,957 is: 7,542.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,417 : 6,957 = 6,957 : x
  2. Step 2: Convert to fraction form
    6,417/6,957 = 6,957/x
  3. Step 3: Cross multiply
    6,417x = 6,957 × 6,957
  4. Step 4: Simplify right side
    6,417x = 48,399,849
  5. Step 5: Solve for x
    x = 48,399,849/6,417
  6. Step 6: Final answer
    x = 7,542.44

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.