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Finding the Third Proportional to 7,168 and 17,758

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Solution

The third proportional to 7,168 and 17,758 is: 43,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,168 : 17,758 = 17,758 : x
  2. Step 2: Convert to fraction form
    7,168/17,758 = 17,758/x
  3. Step 3: Cross multiply
    7,168x = 17,758 × 17,758
  4. Step 4: Simplify right side
    7,168x = 315,346,564
  5. Step 5: Solve for x
    x = 315,346,564/7,168
  6. Step 6: Final answer
    x = 43,993.66

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.