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Finding the Third Proportional to 6,456 and 6,942

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Solution

The third proportional to 6,456 and 6,942 is: 7,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456 : 6,942 = 6,942 : x
  2. Step 2: Convert to fraction form
    6,456/6,942 = 6,942/x
  3. Step 3: Cross multiply
    6,456x = 6,942 × 6,942
  4. Step 4: Simplify right side
    6,456x = 48,191,364
  5. Step 5: Solve for x
    x = 48,191,364/6,456
  6. Step 6: Final answer
    x = 7,464.59

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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.