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Finding the Third Proportional to 20,024 and 32,817

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Solution

The third proportional to 20,024 and 32,817 is: 53,783.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,024 : 32,817 = 32,817 : x
  2. Step 2: Convert to fraction form
    20,024/32,817 = 32,817/x
  3. Step 3: Cross multiply
    20,024x = 32,817 × 32,817
  4. Step 4: Simplify right side
    20,024x = 1,076,955,489
  5. Step 5: Solve for x
    x = 1,076,955,489/20,024
  6. Step 6: Final answer
    x = 53,783.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.