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Finding the Third Proportional to 32,926.50 and 51,576.75

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Solution

The third proportional to 32,926.50 and 51,576.75 is: 80,790.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926.50 : 51,576.75 = 51,576.75 : x
  2. Step 2: Convert to fraction form
    32,926.50/51,576.75 = 51,576.75/x
  3. Step 3: Cross multiply
    32,926.50x = 51,576.75 × 51,576.75
  4. Step 4: Simplify right side
    32,926.50x = 2,660,161,140.56
  5. Step 5: Solve for x
    x = 2,660,161,140.56/32,926.50
  6. Step 6: Final answer
    x = 80,790.89

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Why These Related Problems?

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