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Finding the Third Proportional to 36,756.75 and 51,762.75

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Solution

The third proportional to 36,756.75 and 51,762.75 is: 72,894.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,756.75 : 51,762.75 = 51,762.75 : x
  2. Step 2: Convert to fraction form
    36,756.75/51,762.75 = 51,762.75/x
  3. Step 3: Cross multiply
    36,756.75x = 51,762.75 × 51,762.75
  4. Step 4: Simplify right side
    36,756.75x = 2,679,382,287.56
  5. Step 5: Solve for x
    x = 2,679,382,287.56/36,756.75
  6. Step 6: Final answer
    x = 72,894.97

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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.