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Finding the Third Proportional to 19,944 and 41,953.50

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Solution

The third proportional to 19,944 and 41,953.50 is: 88,251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944 : 41,953.50 = 41,953.50 : x
  2. Step 2: Convert to fraction form
    19,944/41,953.50 = 41,953.50/x
  3. Step 3: Cross multiply
    19,944x = 41,953.50 × 41,953.50
  4. Step 4: Simplify right side
    19,944x = 1,760,096,162.25
  5. Step 5: Solve for x
    x = 1,760,096,162.25/19,944
  6. Step 6: Final answer
    x = 88,251.91

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.