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Finding the Third Proportional to 9,485.44 and 16,971.19

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Solution

The third proportional to 9,485.44 and 16,971.19 is: 30,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.44 : 16,971.19 = 16,971.19 : x
  2. Step 2: Convert to fraction form
    9,485.44/16,971.19 = 16,971.19/x
  3. Step 3: Cross multiply
    9,485.44x = 16,971.19 × 16,971.19
  4. Step 4: Simplify right side
    9,485.44x = 288,021,205.16
  5. Step 5: Solve for x
    x = 288,021,205.16/9,485.44
  6. Step 6: Final answer
    x = 30,364.57

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.