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Finding the Third Proportional to 10,095.75 and 20,697.75

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Solution

The third proportional to 10,095.75 and 20,697.75 is: 42,433.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.75 : 20,697.75 = 20,697.75 : x
  2. Step 2: Convert to fraction form
    10,095.75/20,697.75 = 20,697.75/x
  3. Step 3: Cross multiply
    10,095.75x = 20,697.75 × 20,697.75
  4. Step 4: Simplify right side
    10,095.75x = 428,396,855.06
  5. Step 5: Solve for x
    x = 428,396,855.06/10,095.75
  6. Step 6: Final answer
    x = 42,433.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.