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Finding the Third Proportional to 8,975.81 and 19,250.16

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Solution

The third proportional to 8,975.81 and 19,250.16 is: 41,285.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,975.81 : 19,250.16 = 19,250.16 : x
  2. Step 2: Convert to fraction form
    8,975.81/19,250.16 = 19,250.16/x
  3. Step 3: Cross multiply
    8,975.81x = 19,250.16 × 19,250.16
  4. Step 4: Simplify right side
    8,975.81x = 370,568,515.65
  5. Step 5: Solve for x
    x = 370,568,515.65/8,975.81
  6. Step 6: Final answer
    x = 41,285.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.