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Finding the Third Proportional to 39,014 and 83,954

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Solution

The third proportional to 39,014 and 83,954 is: 180,660.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,014 : 83,954 = 83,954 : x
  2. Step 2: Convert to fraction form
    39,014/83,954 = 83,954/x
  3. Step 3: Cross multiply
    39,014x = 83,954 × 83,954
  4. Step 4: Simplify right side
    39,014x = 7,048,274,116
  5. Step 5: Solve for x
    x = 7,048,274,116/39,014
  6. Step 6: Final answer
    x = 180,660.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.