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Finding the Third Proportional to 1,005.44 and 2,215.31

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Solution

The third proportional to 1,005.44 and 2,215.31 is: 4,881.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.44 : 2,215.31 = 2,215.31 : x
  2. Step 2: Convert to fraction form
    1,005.44/2,215.31 = 2,215.31/x
  3. Step 3: Cross multiply
    1,005.44x = 2,215.31 × 2,215.31
  4. Step 4: Simplify right side
    1,005.44x = 4,907,609.47
  5. Step 5: Solve for x
    x = 4,907,609.47/1,005.44
  6. Step 6: Final answer
    x = 4,881.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.