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Finding the Third Proportional to 6,955.25 and 10,494.75

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Solution

The third proportional to 6,955.25 and 10,494.75 is: 15,835.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,955.25 : 10,494.75 = 10,494.75 : x
  2. Step 2: Convert to fraction form
    6,955.25/10,494.75 = 10,494.75/x
  3. Step 3: Cross multiply
    6,955.25x = 10,494.75 × 10,494.75
  4. Step 4: Simplify right side
    6,955.25x = 110,139,777.56
  5. Step 5: Solve for x
    x = 110,139,777.56/6,955.25
  6. Step 6: Final answer
    x = 15,835.49

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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.