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Finding the Third Proportional to 36,220 and 76,786

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Solution

The third proportional to 36,220 and 76,786 is: 162,785.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,220 : 76,786 = 76,786 : x
  2. Step 2: Convert to fraction form
    36,220/76,786 = 76,786/x
  3. Step 3: Cross multiply
    36,220x = 76,786 × 76,786
  4. Step 4: Simplify right side
    36,220x = 5,896,089,796
  5. Step 5: Solve for x
    x = 5,896,089,796/36,220
  6. Step 6: Final answer
    x = 162,785.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.