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Finding the Third Proportional to 6,944 and 8,320

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Solution

The third proportional to 6,944 and 8,320 is: 9,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944 : 8,320 = 8,320 : x
  2. Step 2: Convert to fraction form
    6,944/8,320 = 8,320/x
  3. Step 3: Cross multiply
    6,944x = 8,320 × 8,320
  4. Step 4: Simplify right side
    6,944x = 69,222,400
  5. Step 5: Solve for x
    x = 69,222,400/6,944
  6. Step 6: Final answer
    x = 9,968.66

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.