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Finding the Third Proportional to 7,118.44 and 10,638.56

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Solution

The third proportional to 7,118.44 and 10,638.56 is: 15,899.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118.44 : 10,638.56 = 10,638.56 : x
  2. Step 2: Convert to fraction form
    7,118.44/10,638.56 = 10,638.56/x
  3. Step 3: Cross multiply
    7,118.44x = 10,638.56 × 10,638.56
  4. Step 4: Simplify right side
    7,118.44x = 113,179,012.07
  5. Step 5: Solve for x
    x = 113,179,012.07/7,118.44
  6. Step 6: Final answer
    x = 15,899.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.