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Finding the Third Proportional to 17,263 and 35,627

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Solution

The third proportional to 17,263 and 35,627 is: 73,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,263 : 35,627 = 35,627 : x
  2. Step 2: Convert to fraction form
    17,263/35,627 = 35,627/x
  3. Step 3: Cross multiply
    17,263x = 35,627 × 35,627
  4. Step 4: Simplify right side
    17,263x = 1,269,283,129
  5. Step 5: Solve for x
    x = 1,269,283,129/17,263
  6. Step 6: Final answer
    x = 73,526.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.