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Finding the Third Proportional to 19,083 and 27,757.50

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Solution

The third proportional to 19,083 and 27,757.50 is: 40,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,083 : 27,757.50 = 27,757.50 : x
  2. Step 2: Convert to fraction form
    19,083/27,757.50 = 27,757.50/x
  3. Step 3: Cross multiply
    19,083x = 27,757.50 × 27,757.50
  4. Step 4: Simplify right side
    19,083x = 770,478,806.25
  5. Step 5: Solve for x
    x = 770,478,806.25/19,083
  6. Step 6: Final answer
    x = 40,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.