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Finding the Third Proportional to 7,179.75 and 10,776.38

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Solution

The third proportional to 7,179.75 and 10,776.38 is: 16,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,179.75 : 10,776.38 = 10,776.38 : x
  2. Step 2: Convert to fraction form
    7,179.75/10,776.38 = 10,776.38/x
  3. Step 3: Cross multiply
    7,179.75x = 10,776.38 × 10,776.38
  4. Step 4: Simplify right side
    7,179.75x = 116,130,258.14
  5. Step 5: Solve for x
    x = 116,130,258.14/7,179.75
  6. Step 6: Final answer
    x = 16,174.69

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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.