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Finding the Third Proportional to 39,212 and 60,764

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Solution

The third proportional to 39,212 and 60,764 is: 94,161.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,212 : 60,764 = 60,764 : x
  2. Step 2: Convert to fraction form
    39,212/60,764 = 60,764/x
  3. Step 3: Cross multiply
    39,212x = 60,764 × 60,764
  4. Step 4: Simplify right side
    39,212x = 3,692,263,696
  5. Step 5: Solve for x
    x = 3,692,263,696/39,212
  6. Step 6: Final answer
    x = 94,161.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.