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Finding the Third Proportional to 38,718 and 83,936.25

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Solution

The third proportional to 38,718 and 83,936.25 is: 181,964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,718 : 83,936.25 = 83,936.25 : x
  2. Step 2: Convert to fraction form
    38,718/83,936.25 = 83,936.25/x
  3. Step 3: Cross multiply
    38,718x = 83,936.25 × 83,936.25
  4. Step 4: Simplify right side
    38,718x = 7,045,294,064.06
  5. Step 5: Solve for x
    x = 7,045,294,064.06/38,718
  6. Step 6: Final answer
    x = 181,964.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.