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Finding the Third Proportional to 2,202.82 and 4,815.07

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Solution

The third proportional to 2,202.82 and 4,815.07 is: 10,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,202.82 : 4,815.07 = 4,815.07 : x
  2. Step 2: Convert to fraction form
    2,202.82/4,815.07 = 4,815.07/x
  3. Step 3: Cross multiply
    2,202.82x = 4,815.07 × 4,815.07
  4. Step 4: Simplify right side
    2,202.82x = 23,184,902.11
  5. Step 5: Solve for x
    x = 23,184,902.11/2,202.82
  6. Step 6: Final answer
    x = 10,525.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.