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Finding the Third Proportional to 10,149 and 20,577

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Solution

The third proportional to 10,149 and 20,577 is: 41,719.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149 : 20,577 = 20,577 : x
  2. Step 2: Convert to fraction form
    10,149/20,577 = 20,577/x
  3. Step 3: Cross multiply
    10,149x = 20,577 × 20,577
  4. Step 4: Simplify right side
    10,149x = 423,412,929
  5. Step 5: Solve for x
    x = 423,412,929/10,149
  6. Step 6: Final answer
    x = 41,719.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.