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Finding the Third Proportional to 23,334 and 30,627

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Solution

The third proportional to 23,334 and 30,627 is: 40,199.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,334 : 30,627 = 30,627 : x
  2. Step 2: Convert to fraction form
    23,334/30,627 = 30,627/x
  3. Step 3: Cross multiply
    23,334x = 30,627 × 30,627
  4. Step 4: Simplify right side
    23,334x = 938,013,129
  5. Step 5: Solve for x
    x = 938,013,129/23,334
  6. Step 6: Final answer
    x = 40,199.41

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.