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Finding the Third Proportional to 28,240 and 60,233

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Solution

The third proportional to 28,240 and 60,233 is: 128,470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,240 : 60,233 = 60,233 : x
  2. Step 2: Convert to fraction form
    28,240/60,233 = 60,233/x
  3. Step 3: Cross multiply
    28,240x = 60,233 × 60,233
  4. Step 4: Simplify right side
    28,240x = 3,628,014,289
  5. Step 5: Solve for x
    x = 3,628,014,289/28,240
  6. Step 6: Final answer
    x = 128,470.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.