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Finding the Third Proportional to 34,269.75 and 52,376.63

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Solution

The third proportional to 34,269.75 and 52,376.63 is: 80,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,269.75 : 52,376.63 = 52,376.63 : x
  2. Step 2: Convert to fraction form
    34,269.75/52,376.63 = 52,376.63/x
  3. Step 3: Cross multiply
    34,269.75x = 52,376.63 × 52,376.63
  4. Step 4: Simplify right side
    34,269.75x = 2,743,310,846.39
  5. Step 5: Solve for x
    x = 2,743,310,846.39/34,269.75
  6. Step 6: Final answer
    x = 80,050.51

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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.