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Finding the Third Proportional to 11,347 and 23,270

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Solution

The third proportional to 11,347 and 23,270 is: 47,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347 : 23,270 = 23,270 : x
  2. Step 2: Convert to fraction form
    11,347/23,270 = 23,270/x
  3. Step 3: Cross multiply
    11,347x = 23,270 × 23,270
  4. Step 4: Simplify right side
    11,347x = 541,492,900
  5. Step 5: Solve for x
    x = 541,492,900/11,347
  6. Step 6: Final answer
    x = 47,721.24

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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.