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Finding the Third Proportional to 7,003.97 and 15,392.53

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Solution

The third proportional to 7,003.97 and 15,392.53 is: 33,827.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,003.97 : 15,392.53 = 15,392.53 : x
  2. Step 2: Convert to fraction form
    7,003.97/15,392.53 = 15,392.53/x
  3. Step 3: Cross multiply
    7,003.97x = 15,392.53 × 15,392.53
  4. Step 4: Simplify right side
    7,003.97x = 236,930,018.28
  5. Step 5: Solve for x
    x = 236,930,018.28/7,003.97
  6. Step 6: Final answer
    x = 33,827.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.