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Finding the Third Proportional to 37,738.50 and 79,968

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Solution

The third proportional to 37,738.50 and 79,968 is: 169,452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,738.50 : 79,968 = 79,968 : x
  2. Step 2: Convert to fraction form
    37,738.50/79,968 = 79,968/x
  3. Step 3: Cross multiply
    37,738.50x = 79,968 × 79,968
  4. Step 4: Simplify right side
    37,738.50x = 6,394,881,024
  5. Step 5: Solve for x
    x = 6,394,881,024/37,738.50
  6. Step 6: Final answer
    x = 169,452.44

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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.