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Finding the Third Proportional to 11,370 and 23,208

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Solution

The third proportional to 11,370 and 23,208 is: 47,371.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,370 : 23,208 = 23,208 : x
  2. Step 2: Convert to fraction form
    11,370/23,208 = 23,208/x
  3. Step 3: Cross multiply
    11,370x = 23,208 × 23,208
  4. Step 4: Simplify right side
    11,370x = 538,611,264
  5. Step 5: Solve for x
    x = 538,611,264/11,370
  6. Step 6: Final answer
    x = 47,371.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.