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Finding the Third Proportional to 8,286.75 and 19,147.50

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Solution

The third proportional to 8,286.75 and 19,147.50 is: 44,242.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.75 : 19,147.50 = 19,147.50 : x
  2. Step 2: Convert to fraction form
    8,286.75/19,147.50 = 19,147.50/x
  3. Step 3: Cross multiply
    8,286.75x = 19,147.50 × 19,147.50
  4. Step 4: Simplify right side
    8,286.75x = 366,626,756.25
  5. Step 5: Solve for x
    x = 366,626,756.25/8,286.75
  6. Step 6: Final answer
    x = 44,242.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.