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Finding the Third Proportional to 15,896 and 22,233

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Solution

The third proportional to 15,896 and 22,233 is: 31,096.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,896 : 22,233 = 22,233 : x
  2. Step 2: Convert to fraction form
    15,896/22,233 = 22,233/x
  3. Step 3: Cross multiply
    15,896x = 22,233 × 22,233
  4. Step 4: Simplify right side
    15,896x = 494,306,289
  5. Step 5: Solve for x
    x = 494,306,289/15,896
  6. Step 6: Final answer
    x = 31,096.27

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.