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Finding the Third Proportional to 18,335.25 and 27,678.38

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Solution

The third proportional to 18,335.25 and 27,678.38 is: 41,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,335.25 : 27,678.38 = 27,678.38 : x
  2. Step 2: Convert to fraction form
    18,335.25/27,678.38 = 27,678.38/x
  3. Step 3: Cross multiply
    18,335.25x = 27,678.38 × 27,678.38
  4. Step 4: Simplify right side
    18,335.25x = 766,092,442.64
  5. Step 5: Solve for x
    x = 766,092,442.64/18,335.25
  6. Step 6: Final answer
    x = 41,782.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.