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Finding the Third Proportional to 36,754.50 and 51,759.42

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Solution

The third proportional to 36,754.50 and 51,759.42 is: 72,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,754.50 : 51,759.42 = 51,759.42 : x
  2. Step 2: Convert to fraction form
    36,754.50/51,759.42 = 51,759.42/x
  3. Step 3: Cross multiply
    36,754.50x = 51,759.42 × 51,759.42
  4. Step 4: Simplify right side
    36,754.50x = 2,679,037,752.83
  5. Step 5: Solve for x
    x = 2,679,037,752.83/36,754.50
  6. Step 6: Final answer
    x = 72,890.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.