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Finding the Third Proportional to 1,022.06 and 2,282.06

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Solution

The third proportional to 1,022.06 and 2,282.06 is: 5,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.06 : 2,282.06 = 2,282.06 : x
  2. Step 2: Convert to fraction form
    1,022.06/2,282.06 = 2,282.06/x
  3. Step 3: Cross multiply
    1,022.06x = 2,282.06 × 2,282.06
  4. Step 4: Simplify right side
    1,022.06x = 5,207,809.25
  5. Step 5: Solve for x
    x = 5,207,809.25/1,022.06
  6. Step 6: Final answer
    x = 5,095.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.