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Finding the Third Proportional to 9,568 and 15,020

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Solution

The third proportional to 9,568 and 15,020 is: 23,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568 : 15,020 = 15,020 : x
  2. Step 2: Convert to fraction form
    9,568/15,020 = 15,020/x
  3. Step 3: Cross multiply
    9,568x = 15,020 × 15,020
  4. Step 4: Simplify right side
    9,568x = 225,600,400
  5. Step 5: Solve for x
    x = 225,600,400/9,568
  6. Step 6: Final answer
    x = 23,578.64

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.