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Finding the Third Proportional to 51,675.50 and 79,041

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Solution

The third proportional to 51,675.50 and 79,041 is: 120,898.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,675.50 : 79,041 = 79,041 : x
  2. Step 2: Convert to fraction form
    51,675.50/79,041 = 79,041/x
  3. Step 3: Cross multiply
    51,675.50x = 79,041 × 79,041
  4. Step 4: Simplify right side
    51,675.50x = 6,247,479,681
  5. Step 5: Solve for x
    x = 6,247,479,681/51,675.50
  6. Step 6: Final answer
    x = 120,898.29

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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.