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Finding the Third Proportional to 19,806.75 and 49,173.75

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Solution

The third proportional to 19,806.75 and 49,173.75 is: 122,082.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.75 : 49,173.75 = 49,173.75 : x
  2. Step 2: Convert to fraction form
    19,806.75/49,173.75 = 49,173.75/x
  3. Step 3: Cross multiply
    19,806.75x = 49,173.75 × 49,173.75
  4. Step 4: Simplify right side
    19,806.75x = 2,418,057,689.06
  5. Step 5: Solve for x
    x = 2,418,057,689.06/19,806.75
  6. Step 6: Final answer
    x = 122,082.51

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.