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Finding the Third Proportional to 28,189.50 and 60,267

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Solution

The third proportional to 28,189.50 and 60,267 is: 128,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.50 : 60,267 = 60,267 : x
  2. Step 2: Convert to fraction form
    28,189.50/60,267 = 60,267/x
  3. Step 3: Cross multiply
    28,189.50x = 60,267 × 60,267
  4. Step 4: Simplify right side
    28,189.50x = 3,632,111,289
  5. Step 5: Solve for x
    x = 3,632,111,289/28,189.50
  6. Step 6: Final answer
    x = 128,846.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.