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Finding the Third Proportional to 23,898 and 33,425.25

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Solution

The third proportional to 23,898 and 33,425.25 is: 46,750.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,898 : 33,425.25 = 33,425.25 : x
  2. Step 2: Convert to fraction form
    23,898/33,425.25 = 33,425.25/x
  3. Step 3: Cross multiply
    23,898x = 33,425.25 × 33,425.25
  4. Step 4: Simplify right side
    23,898x = 1,117,247,337.56
  5. Step 5: Solve for x
    x = 1,117,247,337.56/23,898
  6. Step 6: Final answer
    x = 46,750.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.