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Finding the Third Proportional to 9,571 and 20,533

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Solution

The third proportional to 9,571 and 20,533 is: 44,050.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571 : 20,533 = 20,533 : x
  2. Step 2: Convert to fraction form
    9,571/20,533 = 20,533/x
  3. Step 3: Cross multiply
    9,571x = 20,533 × 20,533
  4. Step 4: Simplify right side
    9,571x = 421,604,089
  5. Step 5: Solve for x
    x = 421,604,089/9,571
  6. Step 6: Final answer
    x = 44,050.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.