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Finding the Third Proportional to 19,692 and 43,211.50

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Solution

The third proportional to 19,692 and 43,211.50 is: 94,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692 : 43,211.50 = 43,211.50 : x
  2. Step 2: Convert to fraction form
    19,692/43,211.50 = 43,211.50/x
  3. Step 3: Cross multiply
    19,692x = 43,211.50 × 43,211.50
  4. Step 4: Simplify right side
    19,692x = 1,867,233,732.25
  5. Step 5: Solve for x
    x = 1,867,233,732.25/19,692
  6. Step 6: Final answer
    x = 94,821.94

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.