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Finding the Third Proportional to 22,445 and 33,233

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Solution

The third proportional to 22,445 and 33,233 is: 49,206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,445 : 33,233 = 33,233 : x
  2. Step 2: Convert to fraction form
    22,445/33,233 = 33,233/x
  3. Step 3: Cross multiply
    22,445x = 33,233 × 33,233
  4. Step 4: Simplify right side
    22,445x = 1,104,432,289
  5. Step 5: Solve for x
    x = 1,104,432,289/22,445
  6. Step 6: Final answer
    x = 49,206.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.