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Finding the Third Proportional to 39,813 and 83,946

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Solution

The third proportional to 39,813 and 83,946 is: 177,000.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,813 : 83,946 = 83,946 : x
  2. Step 2: Convert to fraction form
    39,813/83,946 = 83,946/x
  3. Step 3: Cross multiply
    39,813x = 83,946 × 83,946
  4. Step 4: Simplify right side
    39,813x = 7,046,930,916
  5. Step 5: Solve for x
    x = 7,046,930,916/39,813
  6. Step 6: Final answer
    x = 177,000.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.