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Finding the Third Proportional to 20,820 and 33,300

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Solution

The third proportional to 20,820 and 33,300 is: 53,260.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,820 : 33,300 = 33,300 : x
  2. Step 2: Convert to fraction form
    20,820/33,300 = 33,300/x
  3. Step 3: Cross multiply
    20,820x = 33,300 × 33,300
  4. Step 4: Simplify right side
    20,820x = 1,108,890,000
  5. Step 5: Solve for x
    x = 1,108,890,000/20,820
  6. Step 6: Final answer
    x = 53,260.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.