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Finding the Third Proportional to 8,278.14 and 18,504.07

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Solution

The third proportional to 8,278.14 and 18,504.07 is: 41,362.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.14 : 18,504.07 = 18,504.07 : x
  2. Step 2: Convert to fraction form
    8,278.14/18,504.07 = 18,504.07/x
  3. Step 3: Cross multiply
    8,278.14x = 18,504.07 × 18,504.07
  4. Step 4: Simplify right side
    8,278.14x = 342,400,618.13
  5. Step 5: Solve for x
    x = 342,400,618.13/8,278.14
  6. Step 6: Final answer
    x = 41,362.04

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.