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Finding the Third Proportional to 17,054 and 40,201

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Solution

The third proportional to 17,054 and 40,201 is: 94,764.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,054 : 40,201 = 40,201 : x
  2. Step 2: Convert to fraction form
    17,054/40,201 = 40,201/x
  3. Step 3: Cross multiply
    17,054x = 40,201 × 40,201
  4. Step 4: Simplify right side
    17,054x = 1,616,120,401
  5. Step 5: Solve for x
    x = 1,616,120,401/17,054
  6. Step 6: Final answer
    x = 94,764.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.