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Finding the Third Proportional to 11,500.50 and 23,725.50

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Solution

The third proportional to 11,500.50 and 23,725.50 is: 48,945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.50 : 23,725.50 = 23,725.50 : x
  2. Step 2: Convert to fraction form
    11,500.50/23,725.50 = 23,725.50/x
  3. Step 3: Cross multiply
    11,500.50x = 23,725.50 × 23,725.50
  4. Step 4: Simplify right side
    11,500.50x = 562,899,350.25
  5. Step 5: Solve for x
    x = 562,899,350.25/11,500.50
  6. Step 6: Final answer
    x = 48,945.64

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.