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Finding the Third Proportional to 9,736.50 and 14,797

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Solution

The third proportional to 9,736.50 and 14,797 is: 22,487.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.50 : 14,797 = 14,797 : x
  2. Step 2: Convert to fraction form
    9,736.50/14,797 = 14,797/x
  3. Step 3: Cross multiply
    9,736.50x = 14,797 × 14,797
  4. Step 4: Simplify right side
    9,736.50x = 218,951,209
  5. Step 5: Solve for x
    x = 218,951,209/9,736.50
  6. Step 6: Final answer
    x = 22,487.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.