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Finding the Third Proportional to 36,518 and 77,744.25

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Solution

The third proportional to 36,518 and 77,744.25 is: 165,512.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,518 : 77,744.25 = 77,744.25 : x
  2. Step 2: Convert to fraction form
    36,518/77,744.25 = 77,744.25/x
  3. Step 3: Cross multiply
    36,518x = 77,744.25 × 77,744.25
  4. Step 4: Simplify right side
    36,518x = 6,044,168,408.06
  5. Step 5: Solve for x
    x = 6,044,168,408.06/36,518
  6. Step 6: Final answer
    x = 165,512.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.