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Finding the Third Proportional to 2,110.44 and 4,528.56

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Solution

The third proportional to 2,110.44 and 4,528.56 is: 9,717.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.44 : 4,528.56 = 4,528.56 : x
  2. Step 2: Convert to fraction form
    2,110.44/4,528.56 = 4,528.56/x
  3. Step 3: Cross multiply
    2,110.44x = 4,528.56 × 4,528.56
  4. Step 4: Simplify right side
    2,110.44x = 20,507,878.32
  5. Step 5: Solve for x
    x = 20,507,878.32/2,110.44
  6. Step 6: Final answer
    x = 9,717.36

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.