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Finding the Third Proportional to 28,197 and 66,799

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Solution

The third proportional to 28,197 and 66,799 is: 158,247.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,197 : 66,799 = 66,799 : x
  2. Step 2: Convert to fraction form
    28,197/66,799 = 66,799/x
  3. Step 3: Cross multiply
    28,197x = 66,799 × 66,799
  4. Step 4: Simplify right side
    28,197x = 4,462,106,401
  5. Step 5: Solve for x
    x = 4,462,106,401/28,197
  6. Step 6: Final answer
    x = 158,247.56

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.