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Finding the Third Proportional to 23,305.50 and 33,854.25

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Solution

The third proportional to 23,305.50 and 33,854.25 is: 49,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.50 : 33,854.25 = 33,854.25 : x
  2. Step 2: Convert to fraction form
    23,305.50/33,854.25 = 33,854.25/x
  3. Step 3: Cross multiply
    23,305.50x = 33,854.25 × 33,854.25
  4. Step 4: Simplify right side
    23,305.50x = 1,146,110,243.06
  5. Step 5: Solve for x
    x = 1,146,110,243.06/23,305.50
  6. Step 6: Final answer
    x = 49,177.67

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.