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Finding the Third Proportional to 9,744 and 14,251

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Solution

The third proportional to 9,744 and 14,251 is: 20,842.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744 : 14,251 = 14,251 : x
  2. Step 2: Convert to fraction form
    9,744/14,251 = 14,251/x
  3. Step 3: Cross multiply
    9,744x = 14,251 × 14,251
  4. Step 4: Simplify right side
    9,744x = 203,091,001
  5. Step 5: Solve for x
    x = 203,091,001/9,744
  6. Step 6: Final answer
    x = 20,842.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.