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Finding the Third Proportional to 7,383 and 15,997

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Solution

The third proportional to 7,383 and 15,997 is: 34,661.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383 : 15,997 = 15,997 : x
  2. Step 2: Convert to fraction form
    7,383/15,997 = 15,997/x
  3. Step 3: Cross multiply
    7,383x = 15,997 × 15,997
  4. Step 4: Simplify right side
    7,383x = 255,904,009
  5. Step 5: Solve for x
    x = 255,904,009/7,383
  6. Step 6: Final answer
    x = 34,661.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.