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Finding the Third Proportional to 7,427.25 and 16,187.63

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Solution

The third proportional to 7,427.25 and 16,187.63 is: 35,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,427.25 : 16,187.63 = 16,187.63 : x
  2. Step 2: Convert to fraction form
    7,427.25/16,187.63 = 16,187.63/x
  3. Step 3: Cross multiply
    7,427.25x = 16,187.63 × 16,187.63
  4. Step 4: Simplify right side
    7,427.25x = 262,039,203.14
  5. Step 5: Solve for x
    x = 262,039,203.14/7,427.25
  6. Step 6: Final answer
    x = 35,280.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.