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Finding the Third Proportional to 18,733 and 28,090

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Solution

The third proportional to 18,733 and 28,090 is: 42,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,733 : 28,090 = 28,090 : x
  2. Step 2: Convert to fraction form
    18,733/28,090 = 28,090/x
  3. Step 3: Cross multiply
    18,733x = 28,090 × 28,090
  4. Step 4: Simplify right side
    18,733x = 789,048,100
  5. Step 5: Solve for x
    x = 789,048,100/18,733
  6. Step 6: Final answer
    x = 42,120.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.