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Finding the Third Proportional to 11,393 and 23,353

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Solution

The third proportional to 11,393 and 23,353 is: 47,868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,393 : 23,353 = 23,353 : x
  2. Step 2: Convert to fraction form
    11,393/23,353 = 23,353/x
  3. Step 3: Cross multiply
    11,393x = 23,353 × 23,353
  4. Step 4: Simplify right side
    11,393x = 545,362,609
  5. Step 5: Solve for x
    x = 545,362,609/11,393
  6. Step 6: Final answer
    x = 47,868.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.