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Finding the Third Proportional to 28,238 and 60,229

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Solution

The third proportional to 28,238 and 60,229 is: 128,462.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238 : 60,229 = 60,229 : x
  2. Step 2: Convert to fraction form
    28,238/60,229 = 60,229/x
  3. Step 3: Cross multiply
    28,238x = 60,229 × 60,229
  4. Step 4: Simplify right side
    28,238x = 3,627,532,441
  5. Step 5: Solve for x
    x = 3,627,532,441/28,238
  6. Step 6: Final answer
    x = 128,462.80

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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.