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Finding the Third Proportional to 22,004 and 31,351

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Solution

The third proportional to 22,004 and 31,351 is: 44,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,004 : 31,351 = 31,351 : x
  2. Step 2: Convert to fraction form
    22,004/31,351 = 31,351/x
  3. Step 3: Cross multiply
    22,004x = 31,351 × 31,351
  4. Step 4: Simplify right side
    22,004x = 982,885,201
  5. Step 5: Solve for x
    x = 982,885,201/22,004
  6. Step 6: Final answer
    x = 44,668.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.