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Finding the Third Proportional to 6,412 and 7,336

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Solution

The third proportional to 6,412 and 7,336 is: 8,393.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 7,336 = 7,336 : x
  2. Step 2: Convert to fraction form
    6,412/7,336 = 7,336/x
  3. Step 3: Cross multiply
    6,412x = 7,336 × 7,336
  4. Step 4: Simplify right side
    6,412x = 53,816,896
  5. Step 5: Solve for x
    x = 53,816,896/6,412
  6. Step 6: Final answer
    x = 8,393.15

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.