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Finding the Third Proportional to 6,927.75 and 10,661.06

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Solution

The third proportional to 6,927.75 and 10,661.06 is: 16,406.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,927.75 : 10,661.06 = 10,661.06 : x
  2. Step 2: Convert to fraction form
    6,927.75/10,661.06 = 10,661.06/x
  3. Step 3: Cross multiply
    6,927.75x = 10,661.06 × 10,661.06
  4. Step 4: Simplify right side
    6,927.75x = 113,658,253.63
  5. Step 5: Solve for x
    x = 113,658,253.63/6,927.75
  6. Step 6: Final answer
    x = 16,406.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.