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Finding the Third Proportional to 20,824 and 45,100

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Solution

The third proportional to 20,824 and 45,100 is: 97,676.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,824 : 45,100 = 45,100 : x
  2. Step 2: Convert to fraction form
    20,824/45,100 = 45,100/x
  3. Step 3: Cross multiply
    20,824x = 45,100 × 45,100
  4. Step 4: Simplify right side
    20,824x = 2,034,010,000
  5. Step 5: Solve for x
    x = 2,034,010,000/20,824
  6. Step 6: Final answer
    x = 97,676.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.