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Finding the Third Proportional to 38,817.50 and 83,168

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Solution

The third proportional to 38,817.50 and 83,168 is: 178,190.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,817.50 : 83,168 = 83,168 : x
  2. Step 2: Convert to fraction form
    38,817.50/83,168 = 83,168/x
  3. Step 3: Cross multiply
    38,817.50x = 83,168 × 83,168
  4. Step 4: Simplify right side
    38,817.50x = 6,916,916,224
  5. Step 5: Solve for x
    x = 6,916,916,224/38,817.50
  6. Step 6: Final answer
    x = 178,190.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.