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Finding the Third Proportional to 30,027 and 44,977.50

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Solution

The third proportional to 30,027 and 44,977.50 is: 67,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,027 : 44,977.50 = 44,977.50 : x
  2. Step 2: Convert to fraction form
    30,027/44,977.50 = 44,977.50/x
  3. Step 3: Cross multiply
    30,027x = 44,977.50 × 44,977.50
  4. Step 4: Simplify right side
    30,027x = 2,022,975,506.25
  5. Step 5: Solve for x
    x = 2,022,975,506.25/30,027
  6. Step 6: Final answer
    x = 67,371.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.