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Finding the Third Proportional to 17,078 and 26,503

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Solution

The third proportional to 17,078 and 26,503 is: 41,129.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078 : 26,503 = 26,503 : x
  2. Step 2: Convert to fraction form
    17,078/26,503 = 26,503/x
  3. Step 3: Cross multiply
    17,078x = 26,503 × 26,503
  4. Step 4: Simplify right side
    17,078x = 702,409,009
  5. Step 5: Solve for x
    x = 702,409,009/17,078
  6. Step 6: Final answer
    x = 41,129.47

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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.