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Finding the Third Proportional to 7,383.84 and 15,997.88

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Solution

The third proportional to 7,383.84 and 15,997.88 is: 34,661.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,383.84 : 15,997.88 = 15,997.88 : x
  2. Step 2: Convert to fraction form
    7,383.84/15,997.88 = 15,997.88/x
  3. Step 3: Cross multiply
    7,383.84x = 15,997.88 × 15,997.88
  4. Step 4: Simplify right side
    7,383.84x = 255,932,004.52
  5. Step 5: Solve for x
    x = 255,932,004.52/7,383.84
  6. Step 6: Final answer
    x = 34,661.08

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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.