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Finding the Third Proportional to 9,708.75 and 22,245.75

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Solution

The third proportional to 9,708.75 and 22,245.75 is: 50,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.75 : 22,245.75 = 22,245.75 : x
  2. Step 2: Convert to fraction form
    9,708.75/22,245.75 = 22,245.75/x
  3. Step 3: Cross multiply
    9,708.75x = 22,245.75 × 22,245.75
  4. Step 4: Simplify right side
    9,708.75x = 494,873,393.06
  5. Step 5: Solve for x
    x = 494,873,393.06/9,708.75
  6. Step 6: Final answer
    x = 50,971.90

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.