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Finding the Third Proportional to 30,771.75 and 44,000.25

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Solution

The third proportional to 30,771.75 and 44,000.25 is: 62,915.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,771.75 : 44,000.25 = 44,000.25 : x
  2. Step 2: Convert to fraction form
    30,771.75/44,000.25 = 44,000.25/x
  3. Step 3: Cross multiply
    30,771.75x = 44,000.25 × 44,000.25
  4. Step 4: Simplify right side
    30,771.75x = 1,936,022,000.06
  5. Step 5: Solve for x
    x = 1,936,022,000.06/30,771.75
  6. Step 6: Final answer
    x = 62,915.56

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1.5x scale

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.