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Finding the Third Proportional to 31,817.50 and 71,885.75

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Solution

The third proportional to 31,817.50 and 71,885.75 is: 162,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,817.50 : 71,885.75 = 71,885.75 : x
  2. Step 2: Convert to fraction form
    31,817.50/71,885.75 = 71,885.75/x
  3. Step 3: Cross multiply
    31,817.50x = 71,885.75 × 71,885.75
  4. Step 4: Simplify right side
    31,817.50x = 5,167,561,053.06
  5. Step 5: Solve for x
    x = 5,167,561,053.06/31,817.50
  6. Step 6: Final answer
    x = 162,412.54

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.