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Finding the Third Proportional to 18,117.75 and 20,851.75

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Solution

The third proportional to 18,117.75 and 20,851.75 is: 23,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,117.75 : 20,851.75 = 20,851.75 : x
  2. Step 2: Convert to fraction form
    18,117.75/20,851.75 = 20,851.75/x
  3. Step 3: Cross multiply
    18,117.75x = 20,851.75 × 20,851.75
  4. Step 4: Simplify right side
    18,117.75x = 434,795,478.06
  5. Step 5: Solve for x
    x = 434,795,478.06/18,117.75
  6. Step 6: Final answer
    x = 23,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.