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Finding the Third Proportional to 31,956.19 and 50,020.03

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Solution

The third proportional to 31,956.19 and 50,020.03 is: 78,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956.19 : 50,020.03 = 50,020.03 : x
  2. Step 2: Convert to fraction form
    31,956.19/50,020.03 = 50,020.03/x
  3. Step 3: Cross multiply
    31,956.19x = 50,020.03 × 50,020.03
  4. Step 4: Simplify right side
    31,956.19x = 2,502,003,526.25
  5. Step 5: Solve for x
    x = 2,502,003,526.25/31,956.19
  6. Step 6: Final answer
    x = 78,294.81

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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.