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Finding the Third Proportional to 29,956.50 and 39,750.75

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Solution

The third proportional to 29,956.50 and 39,750.75 is: 52,747.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.50 : 39,750.75 = 39,750.75 : x
  2. Step 2: Convert to fraction form
    29,956.50/39,750.75 = 39,750.75/x
  3. Step 3: Cross multiply
    29,956.50x = 39,750.75 × 39,750.75
  4. Step 4: Simplify right side
    29,956.50x = 1,580,122,125.56
  5. Step 5: Solve for x
    x = 1,580,122,125.56/29,956.50
  6. Step 6: Final answer
    x = 52,747.22

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Why These Related Problems?

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