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Finding the Third Proportional to 9,213.75 and 13,867.03

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Solution

The third proportional to 9,213.75 and 13,867.03 is: 20,870.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.75 : 13,867.03 = 13,867.03 : x
  2. Step 2: Convert to fraction form
    9,213.75/13,867.03 = 13,867.03/x
  3. Step 3: Cross multiply
    9,213.75x = 13,867.03 × 13,867.03
  4. Step 4: Simplify right side
    9,213.75x = 192,294,555.69
  5. Step 5: Solve for x
    x = 192,294,555.69/9,213.75
  6. Step 6: Final answer
    x = 20,870.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.