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Finding the Third Proportional to 20,756 and 32,228

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Solution

The third proportional to 20,756 and 32,228 is: 50,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,756 : 32,228 = 32,228 : x
  2. Step 2: Convert to fraction form
    20,756/32,228 = 32,228/x
  3. Step 3: Cross multiply
    20,756x = 32,228 × 32,228
  4. Step 4: Simplify right side
    20,756x = 1,038,643,984
  5. Step 5: Solve for x
    x = 1,038,643,984/20,756
  6. Step 6: Final answer
    x = 50,040.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.