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Finding the Third Proportional to 17,058 and 34,809.50

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Solution

The third proportional to 17,058 and 34,809.50 is: 71,034.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,058 : 34,809.50 = 34,809.50 : x
  2. Step 2: Convert to fraction form
    17,058/34,809.50 = 34,809.50/x
  3. Step 3: Cross multiply
    17,058x = 34,809.50 × 34,809.50
  4. Step 4: Simplify right side
    17,058x = 1,211,701,290.25
  5. Step 5: Solve for x
    x = 1,211,701,290.25/17,058
  6. Step 6: Final answer
    x = 71,034.19

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.