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Finding the Third Proportional to 28,235 and 62,233

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Solution

The third proportional to 28,235 and 62,233 is: 137,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,235 : 62,233 = 62,233 : x
  2. Step 2: Convert to fraction form
    28,235/62,233 = 62,233/x
  3. Step 3: Cross multiply
    28,235x = 62,233 × 62,233
  4. Step 4: Simplify right side
    28,235x = 3,872,946,289
  5. Step 5: Solve for x
    x = 3,872,946,289/28,235
  6. Step 6: Final answer
    x = 137,168.28

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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.