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Finding the Third Proportional to 12,471.75 and 18,653.63

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Solution

The third proportional to 12,471.75 and 18,653.63 is: 27,899.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,471.75 : 18,653.63 = 18,653.63 : x
  2. Step 2: Convert to fraction form
    12,471.75/18,653.63 = 18,653.63/x
  3. Step 3: Cross multiply
    12,471.75x = 18,653.63 × 18,653.63
  4. Step 4: Simplify right side
    12,471.75x = 347,957,725.64
  5. Step 5: Solve for x
    x = 347,957,725.64/12,471.75
  6. Step 6: Final answer
    x = 27,899.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.