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Finding the Third Proportional to 11,155.50 and 23,235

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Solution

The third proportional to 11,155.50 and 23,235 is: 48,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,155.50 : 23,235 = 23,235 : x
  2. Step 2: Convert to fraction form
    11,155.50/23,235 = 23,235/x
  3. Step 3: Cross multiply
    11,155.50x = 23,235 × 23,235
  4. Step 4: Simplify right side
    11,155.50x = 539,865,225
  5. Step 5: Solve for x
    x = 539,865,225/11,155.50
  6. Step 6: Final answer
    x = 48,394.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.