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Finding the Third Proportional to 15,383.25 and 21,997.69

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Solution

The third proportional to 15,383.25 and 21,997.69 is: 31,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383.25 : 21,997.69 = 21,997.69 : x
  2. Step 2: Convert to fraction form
    15,383.25/21,997.69 = 21,997.69/x
  3. Step 3: Cross multiply
    15,383.25x = 21,997.69 × 21,997.69
  4. Step 4: Simplify right side
    15,383.25x = 483,898,255.35
  5. Step 5: Solve for x
    x = 483,898,255.35/15,383.25
  6. Step 6: Final answer
    x = 31,456.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.