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Finding the Third Proportional to 7,764 and 17,946

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Solution

The third proportional to 7,764 and 17,946 is: 41,481.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,764 : 17,946 = 17,946 : x
  2. Step 2: Convert to fraction form
    7,764/17,946 = 17,946/x
  3. Step 3: Cross multiply
    7,764x = 17,946 × 17,946
  4. Step 4: Simplify right side
    7,764x = 322,058,916
  5. Step 5: Solve for x
    x = 322,058,916/7,764
  6. Step 6: Final answer
    x = 41,481.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.