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Finding the Third Proportional to 11,111.06 and 18,351.94

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Solution

The third proportional to 11,111.06 and 18,351.94 is: 30,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,111.06 : 18,351.94 = 18,351.94 : x
  2. Step 2: Convert to fraction form
    11,111.06/18,351.94 = 18,351.94/x
  3. Step 3: Cross multiply
    11,111.06x = 18,351.94 × 18,351.94
  4. Step 4: Simplify right side
    11,111.06x = 336,793,610.00
  5. Step 5: Solve for x
    x = 336,793,610.00/11,111.06
  6. Step 6: Final answer
    x = 30,311.56

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.