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Finding the Third Proportional to 6,690.94 and 10,055.81

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Solution

The third proportional to 6,690.94 and 10,055.81 is: 15,112.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.94 : 10,055.81 = 10,055.81 : x
  2. Step 2: Convert to fraction form
    6,690.94/10,055.81 = 10,055.81/x
  3. Step 3: Cross multiply
    6,690.94x = 10,055.81 × 10,055.81
  4. Step 4: Simplify right side
    6,690.94x = 101,119,365.04
  5. Step 5: Solve for x
    x = 101,119,365.04/6,690.94
  6. Step 6: Final answer
    x = 15,112.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.