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Finding the Third Proportional to 19,731 and 30,610.50

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Solution

The third proportional to 19,731 and 30,610.50 is: 47,488.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,731 : 30,610.50 = 30,610.50 : x
  2. Step 2: Convert to fraction form
    19,731/30,610.50 = 30,610.50/x
  3. Step 3: Cross multiply
    19,731x = 30,610.50 × 30,610.50
  4. Step 4: Simplify right side
    19,731x = 937,002,710.25
  5. Step 5: Solve for x
    x = 937,002,710.25/19,731
  6. Step 6: Final answer
    x = 47,488.86

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.