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Finding the Third Proportional to 9,576 and 20,024

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Solution

The third proportional to 9,576 and 20,024 is: 41,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 20,024 = 20,024 : x
  2. Step 2: Convert to fraction form
    9,576/20,024 = 20,024/x
  3. Step 3: Cross multiply
    9,576x = 20,024 × 20,024
  4. Step 4: Simplify right side
    9,576x = 400,960,576
  5. Step 5: Solve for x
    x = 400,960,576/9,576
  6. Step 6: Final answer
    x = 41,871.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.