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Finding the Third Proportional to 7,427.25 and 16,086.38

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Solution

The third proportional to 7,427.25 and 16,086.38 is: 34,840.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.25 : 16,086.38 = 16,086.38 : x
  2. Step 2: Convert to fraction form
    7,427.25/16,086.38 = 16,086.38/x
  3. Step 3: Cross multiply
    7,427.25x = 16,086.38 × 16,086.38
  4. Step 4: Simplify right side
    7,427.25x = 258,771,460.64
  5. Step 5: Solve for x
    x = 258,771,460.64/7,427.25
  6. Step 6: Final answer
    x = 34,840.82

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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.