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Finding the Third Proportional to 36,842 and 79,570

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Solution

The third proportional to 36,842 and 79,570 is: 171,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,842 : 79,570 = 79,570 : x
  2. Step 2: Convert to fraction form
    36,842/79,570 = 79,570/x
  3. Step 3: Cross multiply
    36,842x = 79,570 × 79,570
  4. Step 4: Simplify right side
    36,842x = 6,331,384,900
  5. Step 5: Solve for x
    x = 6,331,384,900/36,842
  6. Step 6: Final answer
    x = 171,852.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.