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Finding the Third Proportional to 6,400 and 6,944

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Solution

The third proportional to 6,400 and 6,944 is: 7,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400 : 6,944 = 6,944 : x
  2. Step 2: Convert to fraction form
    6,400/6,944 = 6,944/x
  3. Step 3: Cross multiply
    6,400x = 6,944 × 6,944
  4. Step 4: Simplify right side
    6,400x = 48,219,136
  5. Step 5: Solve for x
    x = 48,219,136/6,400
  6. Step 6: Final answer
    x = 7,534.24

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1.5x scale

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.