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Finding the Third Proportional to 48,512 and 72,948

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Solution

The third proportional to 48,512 and 72,948 is: 109,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512 : 72,948 = 72,948 : x
  2. Step 2: Convert to fraction form
    48,512/72,948 = 72,948/x
  3. Step 3: Cross multiply
    48,512x = 72,948 × 72,948
  4. Step 4: Simplify right side
    48,512x = 5,321,410,704
  5. Step 5: Solve for x
    x = 5,321,410,704/48,512
  6. Step 6: Final answer
    x = 109,692.67

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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.