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Finding the Third Proportional to 6,738.75 and 15,735.38

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Solution

The third proportional to 6,738.75 and 15,735.38 is: 36,743.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.75 : 15,735.38 = 15,735.38 : x
  2. Step 2: Convert to fraction form
    6,738.75/15,735.38 = 15,735.38/x
  3. Step 3: Cross multiply
    6,738.75x = 15,735.38 × 15,735.38
  4. Step 4: Simplify right side
    6,738.75x = 247,602,026.39
  5. Step 5: Solve for x
    x = 247,602,026.39/6,738.75
  6. Step 6: Final answer
    x = 36,743.02

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.