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Finding the Third Proportional to 9,576 and 20,690

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Solution

The third proportional to 9,576 and 20,690 is: 44,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576 : 20,690 = 20,690 : x
  2. Step 2: Convert to fraction form
    9,576/20,690 = 20,690/x
  3. Step 3: Cross multiply
    9,576x = 20,690 × 20,690
  4. Step 4: Simplify right side
    9,576x = 428,076,100
  5. Step 5: Solve for x
    x = 428,076,100/9,576
  6. Step 6: Final answer
    x = 44,703.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.