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Finding the Third Proportional to 39,010 and 55,744

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Solution

The third proportional to 39,010 and 55,744 is: 79,656.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,010 : 55,744 = 55,744 : x
  2. Step 2: Convert to fraction form
    39,010/55,744 = 55,744/x
  3. Step 3: Cross multiply
    39,010x = 55,744 × 55,744
  4. Step 4: Simplify right side
    39,010x = 3,107,393,536
  5. Step 5: Solve for x
    x = 3,107,393,536/39,010
  6. Step 6: Final answer
    x = 79,656.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.