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Finding the Third Proportional to 11,713.50 and 20,835

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Solution

The third proportional to 11,713.50 and 20,835 is: 37,059.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713.50 : 20,835 = 20,835 : x
  2. Step 2: Convert to fraction form
    11,713.50/20,835 = 20,835/x
  3. Step 3: Cross multiply
    11,713.50x = 20,835 × 20,835
  4. Step 4: Simplify right side
    11,713.50x = 434,097,225
  5. Step 5: Solve for x
    x = 434,097,225/11,713.50
  6. Step 6: Final answer
    x = 37,059.57

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.