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Finding the Third Proportional to 20,506.50 and 48,512.25

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Solution

The third proportional to 20,506.50 and 48,512.25 is: 114,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,506.50 : 48,512.25 = 48,512.25 : x
  2. Step 2: Convert to fraction form
    20,506.50/48,512.25 = 48,512.25/x
  3. Step 3: Cross multiply
    20,506.50x = 48,512.25 × 48,512.25
  4. Step 4: Simplify right side
    20,506.50x = 2,353,438,400.06
  5. Step 5: Solve for x
    x = 2,353,438,400.06/20,506.50
  6. Step 6: Final answer
    x = 114,765.48

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.