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Finding the Third Proportional to 18,084.50 and 28,777

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Solution

The third proportional to 18,084.50 and 28,777 is: 45,791.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,084.50 : 28,777 = 28,777 : x
  2. Step 2: Convert to fraction form
    18,084.50/28,777 = 28,777/x
  3. Step 3: Cross multiply
    18,084.50x = 28,777 × 28,777
  4. Step 4: Simplify right side
    18,084.50x = 828,115,729
  5. Step 5: Solve for x
    x = 828,115,729/18,084.50
  6. Step 6: Final answer
    x = 45,791.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.