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Finding the Third Proportional to 33,592.50 and 51,360.75

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Solution

The third proportional to 33,592.50 and 51,360.75 is: 78,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,592.50 : 51,360.75 = 51,360.75 : x
  2. Step 2: Convert to fraction form
    33,592.50/51,360.75 = 51,360.75/x
  3. Step 3: Cross multiply
    33,592.50x = 51,360.75 × 51,360.75
  4. Step 4: Simplify right side
    33,592.50x = 2,637,926,640.56
  5. Step 5: Solve for x
    x = 2,637,926,640.56/33,592.50
  6. Step 6: Final answer
    x = 78,527.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.