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Finding the Third Proportional to 20,299.50 and 31,888.13

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Solution

The third proportional to 20,299.50 and 31,888.13 is: 50,092.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299.50 : 31,888.13 = 31,888.13 : x
  2. Step 2: Convert to fraction form
    20,299.50/31,888.13 = 31,888.13/x
  3. Step 3: Cross multiply
    20,299.50x = 31,888.13 × 31,888.13
  4. Step 4: Simplify right side
    20,299.50x = 1,016,852,516.02
  5. Step 5: Solve for x
    x = 1,016,852,516.02/20,299.50
  6. Step 6: Final answer
    x = 50,092.49

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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.