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Finding the Third Proportional to 30,777 and 44,085

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Solution

The third proportional to 30,777 and 44,085 is: 63,147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777 : 44,085 = 44,085 : x
  2. Step 2: Convert to fraction form
    30,777/44,085 = 44,085/x
  3. Step 3: Cross multiply
    30,777x = 44,085 × 44,085
  4. Step 4: Simplify right side
    30,777x = 1,943,487,225
  5. Step 5: Solve for x
    x = 1,943,487,225/30,777
  6. Step 6: Final answer
    x = 63,147.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.