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Finding the Third Proportional to 10,500.75 and 19,968.75

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Solution

The third proportional to 10,500.75 and 19,968.75 is: 37,973.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.75 : 19,968.75 = 19,968.75 : x
  2. Step 2: Convert to fraction form
    10,500.75/19,968.75 = 19,968.75/x
  3. Step 3: Cross multiply
    10,500.75x = 19,968.75 × 19,968.75
  4. Step 4: Simplify right side
    10,500.75x = 398,750,976.56
  5. Step 5: Solve for x
    x = 398,750,976.56/10,500.75
  6. Step 6: Final answer
    x = 37,973.57

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.