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Finding the Third Proportional to 20,004 and 32,170

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Solution

The third proportional to 20,004 and 32,170 is: 51,735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,004 : 32,170 = 32,170 : x
  2. Step 2: Convert to fraction form
    20,004/32,170 = 32,170/x
  3. Step 3: Cross multiply
    20,004x = 32,170 × 32,170
  4. Step 4: Simplify right side
    20,004x = 1,034,908,900
  5. Step 5: Solve for x
    x = 1,034,908,900/20,004
  6. Step 6: Final answer
    x = 51,735.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.