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Finding the Third Proportional to 20,774 and 45,072

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Solution

The third proportional to 20,774 and 45,072 is: 97,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,774 : 45,072 = 45,072 : x
  2. Step 2: Convert to fraction form
    20,774/45,072 = 45,072/x
  3. Step 3: Cross multiply
    20,774x = 45,072 × 45,072
  4. Step 4: Simplify right side
    20,774x = 2,031,485,184
  5. Step 5: Solve for x
    x = 2,031,485,184/20,774
  6. Step 6: Final answer
    x = 97,789.79

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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.