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Finding the Third Proportional to 17,464.50 and 35,736

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Solution

The third proportional to 17,464.50 and 35,736 is: 73,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,464.50 : 35,736 = 35,736 : x
  2. Step 2: Convert to fraction form
    17,464.50/35,736 = 35,736/x
  3. Step 3: Cross multiply
    17,464.50x = 35,736 × 35,736
  4. Step 4: Simplify right side
    17,464.50x = 1,277,061,696
  5. Step 5: Solve for x
    x = 1,277,061,696/17,464.50
  6. Step 6: Final answer
    x = 73,123.29

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.