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Finding the Third Proportional to 33,971 and 79,931.75

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Solution

The third proportional to 33,971 and 79,931.75 is: 188,074.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971 : 79,931.75 = 79,931.75 : x
  2. Step 2: Convert to fraction form
    33,971/79,931.75 = 79,931.75/x
  3. Step 3: Cross multiply
    33,971x = 79,931.75 × 79,931.75
  4. Step 4: Simplify right side
    33,971x = 6,389,084,658.06
  5. Step 5: Solve for x
    x = 6,389,084,658.06/33,971
  6. Step 6: Final answer
    x = 188,074.67

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.