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Finding the Third Proportional to 28,653.75 and 31,245.75

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Solution

The third proportional to 28,653.75 and 31,245.75 is: 34,072.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,653.75 : 31,245.75 = 31,245.75 : x
  2. Step 2: Convert to fraction form
    28,653.75/31,245.75 = 31,245.75/x
  3. Step 3: Cross multiply
    28,653.75x = 31,245.75 × 31,245.75
  4. Step 4: Simplify right side
    28,653.75x = 976,296,893.06
  5. Step 5: Solve for x
    x = 976,296,893.06/28,653.75
  6. Step 6: Final answer
    x = 34,072.22

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.