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Finding the Third Proportional to 18,214 and 39,093

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Solution

The third proportional to 18,214 and 39,093 is: 83,905.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214 : 39,093 = 39,093 : x
  2. Step 2: Convert to fraction form
    18,214/39,093 = 39,093/x
  3. Step 3: Cross multiply
    18,214x = 39,093 × 39,093
  4. Step 4: Simplify right side
    18,214x = 1,528,262,649
  5. Step 5: Solve for x
    x = 1,528,262,649/18,214
  6. Step 6: Final answer
    x = 83,905.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.