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Finding the Third Proportional to 28,233 and 62,229

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Solution

The third proportional to 28,233 and 62,229 is: 137,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,233 : 62,229 = 62,229 : x
  2. Step 2: Convert to fraction form
    28,233/62,229 = 62,229/x
  3. Step 3: Cross multiply
    28,233x = 62,229 × 62,229
  4. Step 4: Simplify right side
    28,233x = 3,872,448,441
  5. Step 5: Solve for x
    x = 3,872,448,441/28,233
  6. Step 6: Final answer
    x = 137,160.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.