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Finding the Third Proportional to 7,822.75 and 16,199.75

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Solution

The third proportional to 7,822.75 and 16,199.75 is: 33,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,822.75 : 16,199.75 = 16,199.75 : x
  2. Step 2: Convert to fraction form
    7,822.75/16,199.75 = 16,199.75/x
  3. Step 3: Cross multiply
    7,822.75x = 16,199.75 × 16,199.75
  4. Step 4: Simplify right side
    7,822.75x = 262,431,900.06
  5. Step 5: Solve for x
    x = 262,431,900.06/7,822.75
  6. Step 6: Final answer
    x = 33,547.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.