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Finding the Third Proportional to 6,345 and 6,885

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Solution

The third proportional to 6,345 and 6,885 is: 7,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345 : 6,885 = 6,885 : x
  2. Step 2: Convert to fraction form
    6,345/6,885 = 6,885/x
  3. Step 3: Cross multiply
    6,345x = 6,885 × 6,885
  4. Step 4: Simplify right side
    6,345x = 47,403,225
  5. Step 5: Solve for x
    x = 47,403,225/6,345
  6. Step 6: Final answer
    x = 7,470.96

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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.