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Finding the Third Proportional to 6,741.56 and 10,155.38

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Solution

The third proportional to 6,741.56 and 10,155.38 is: 15,297.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.56 : 10,155.38 = 10,155.38 : x
  2. Step 2: Convert to fraction form
    6,741.56/10,155.38 = 10,155.38/x
  3. Step 3: Cross multiply
    6,741.56x = 10,155.38 × 10,155.38
  4. Step 4: Simplify right side
    6,741.56x = 103,131,641.39
  5. Step 5: Solve for x
    x = 103,131,641.39/6,741.56
  6. Step 6: Final answer
    x = 15,297.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.