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Finding the Third Proportional to 39,706 and 55,652

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Solution

The third proportional to 39,706 and 55,652 is: 78,001.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,706 : 55,652 = 55,652 : x
  2. Step 2: Convert to fraction form
    39,706/55,652 = 55,652/x
  3. Step 3: Cross multiply
    39,706x = 55,652 × 55,652
  4. Step 4: Simplify right side
    39,706x = 3,097,145,104
  5. Step 5: Solve for x
    x = 3,097,145,104/39,706
  6. Step 6: Final answer
    x = 78,001.94

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.