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Finding the Third Proportional to 7,016.63 and 15,427.97

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Solution

The third proportional to 7,016.63 and 15,427.97 is: 33,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.63 : 15,427.97 = 15,427.97 : x
  2. Step 2: Convert to fraction form
    7,016.63/15,427.97 = 15,427.97/x
  3. Step 3: Cross multiply
    7,016.63x = 15,427.97 × 15,427.97
  4. Step 4: Simplify right side
    7,016.63x = 238,022,219.75
  5. Step 5: Solve for x
    x = 238,022,219.75/7,016.63
  6. Step 6: Final answer
    x = 33,922.61

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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.