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Finding the Third Proportional to 5,047.25 and 10,299.75

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Solution

The third proportional to 5,047.25 and 10,299.75 is: 21,018.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.25 : 10,299.75 = 10,299.75 : x
  2. Step 2: Convert to fraction form
    5,047.25/10,299.75 = 10,299.75/x
  3. Step 3: Cross multiply
    5,047.25x = 10,299.75 × 10,299.75
  4. Step 4: Simplify right side
    5,047.25x = 106,084,850.06
  5. Step 5: Solve for x
    x = 106,084,850.06/5,047.25
  6. Step 6: Final answer
    x = 21,018.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.