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Finding the Third Proportional to 23,000 and 35,627

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Solution

The third proportional to 23,000 and 35,627 is: 55,186.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,000 : 35,627 = 35,627 : x
  2. Step 2: Convert to fraction form
    23,000/35,627 = 35,627/x
  3. Step 3: Cross multiply
    23,000x = 35,627 × 35,627
  4. Step 4: Simplify right side
    23,000x = 1,269,283,129
  5. Step 5: Solve for x
    x = 1,269,283,129/23,000
  6. Step 6: Final answer
    x = 55,186.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.