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Finding the Third Proportional to 3,607 and 5,268

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Solution

The third proportional to 3,607 and 5,268 is: 7,693.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607 : 5,268 = 5,268 : x
  2. Step 2: Convert to fraction form
    3,607/5,268 = 5,268/x
  3. Step 3: Cross multiply
    3,607x = 5,268 × 5,268
  4. Step 4: Simplify right side
    3,607x = 27,751,824
  5. Step 5: Solve for x
    x = 27,751,824/3,607
  6. Step 6: Final answer
    x = 7,693.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.