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Finding the Third Proportional to 20,019 and 31,403.50

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Solution

The third proportional to 20,019 and 31,403.50 is: 49,262.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,019 : 31,403.50 = 31,403.50 : x
  2. Step 2: Convert to fraction form
    20,019/31,403.50 = 31,403.50/x
  3. Step 3: Cross multiply
    20,019x = 31,403.50 × 31,403.50
  4. Step 4: Simplify right side
    20,019x = 986,179,812.25
  5. Step 5: Solve for x
    x = 986,179,812.25/20,019
  6. Step 6: Final answer
    x = 49,262.19

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.