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Finding the Third Proportional to 18,093.75 and 38,783

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Solution

The third proportional to 18,093.75 and 38,783 is: 83,129.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,093.75 : 38,783 = 38,783 : x
  2. Step 2: Convert to fraction form
    18,093.75/38,783 = 38,783/x
  3. Step 3: Cross multiply
    18,093.75x = 38,783 × 38,783
  4. Step 4: Simplify right side
    18,093.75x = 1,504,121,089
  5. Step 5: Solve for x
    x = 1,504,121,089/18,093.75
  6. Step 6: Final answer
    x = 83,129.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.