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Finding the Third Proportional to 44,799 and 66,177

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Solution

The third proportional to 44,799 and 66,177 is: 97,756.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,799 : 66,177 = 66,177 : x
  2. Step 2: Convert to fraction form
    44,799/66,177 = 66,177/x
  3. Step 3: Cross multiply
    44,799x = 66,177 × 66,177
  4. Step 4: Simplify right side
    44,799x = 4,379,395,329
  5. Step 5: Solve for x
    x = 4,379,395,329/44,799
  6. Step 6: Final answer
    x = 97,756.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.