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Finding the Third Proportional to 9,214 and 19,743

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Solution

The third proportional to 9,214 and 19,743 is: 42,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214 : 19,743 = 19,743 : x
  2. Step 2: Convert to fraction form
    9,214/19,743 = 19,743/x
  3. Step 3: Cross multiply
    9,214x = 19,743 × 19,743
  4. Step 4: Simplify right side
    9,214x = 389,786,049
  5. Step 5: Solve for x
    x = 389,786,049/9,214
  6. Step 6: Final answer
    x = 42,303.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.