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Finding the Third Proportional to 27,968 and 39,168

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Solution

The third proportional to 27,968 and 39,168 is: 54,853.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,968 : 39,168 = 39,168 : x
  2. Step 2: Convert to fraction form
    27,968/39,168 = 39,168/x
  3. Step 3: Cross multiply
    27,968x = 39,168 × 39,168
  4. Step 4: Simplify right side
    27,968x = 1,534,132,224
  5. Step 5: Solve for x
    x = 1,534,132,224/27,968
  6. Step 6: Final answer
    x = 54,853.13

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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.