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Finding the Third Proportional to 38,954 and 84,040

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Solution

The third proportional to 38,954 and 84,040 is: 181,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,954 : 84,040 = 84,040 : x
  2. Step 2: Convert to fraction form
    38,954/84,040 = 84,040/x
  3. Step 3: Cross multiply
    38,954x = 84,040 × 84,040
  4. Step 4: Simplify right side
    38,954x = 7,062,721,600
  5. Step 5: Solve for x
    x = 7,062,721,600/38,954
  6. Step 6: Final answer
    x = 181,309.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.