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Finding the Third Proportional to 30,833.50 and 40,991.25

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Solution

The third proportional to 30,833.50 and 40,991.25 is: 54,495.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.50 : 40,991.25 = 40,991.25 : x
  2. Step 2: Convert to fraction form
    30,833.50/40,991.25 = 40,991.25/x
  3. Step 3: Cross multiply
    30,833.50x = 40,991.25 × 40,991.25
  4. Step 4: Simplify right side
    30,833.50x = 1,680,282,576.56
  5. Step 5: Solve for x
    x = 1,680,282,576.56/30,833.50
  6. Step 6: Final answer
    x = 54,495.36

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.