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Finding the Third Proportional to 11,904.75 and 18,177.75

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Solution

The third proportional to 11,904.75 and 18,177.75 is: 27,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.75 : 18,177.75 = 18,177.75 : x
  2. Step 2: Convert to fraction form
    11,904.75/18,177.75 = 18,177.75/x
  3. Step 3: Cross multiply
    11,904.75x = 18,177.75 × 18,177.75
  4. Step 4: Simplify right side
    11,904.75x = 330,430,595.06
  5. Step 5: Solve for x
    x = 330,430,595.06/11,904.75
  6. Step 6: Final answer
    x = 27,756.20

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.