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Finding the Third Proportional to 36,773 and 51,783

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Solution

The third proportional to 36,773 and 51,783 is: 72,919.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,773 : 51,783 = 51,783 : x
  2. Step 2: Convert to fraction form
    36,773/51,783 = 51,783/x
  3. Step 3: Cross multiply
    36,773x = 51,783 × 51,783
  4. Step 4: Simplify right side
    36,773x = 2,681,479,089
  5. Step 5: Solve for x
    x = 2,681,479,089/36,773
  6. Step 6: Final answer
    x = 72,919.78

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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.