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Finding the Third Proportional to 19,944 and 31,740

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Solution

The third proportional to 19,944 and 31,740 is: 50,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,944 : 31,740 = 31,740 : x
  2. Step 2: Convert to fraction form
    19,944/31,740 = 31,740/x
  3. Step 3: Cross multiply
    19,944x = 31,740 × 31,740
  4. Step 4: Simplify right side
    19,944x = 1,007,427,600
  5. Step 5: Solve for x
    x = 1,007,427,600/19,944
  6. Step 6: Final answer
    x = 50,512.82

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.