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Finding the Third Proportional to 7,768 and 17,916

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Solution

The third proportional to 7,768 and 17,916 is: 41,321.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768 : 17,916 = 17,916 : x
  2. Step 2: Convert to fraction form
    7,768/17,916 = 17,916/x
  3. Step 3: Cross multiply
    7,768x = 17,916 × 17,916
  4. Step 4: Simplify right side
    7,768x = 320,983,056
  5. Step 5: Solve for x
    x = 320,983,056/7,768
  6. Step 6: Final answer
    x = 41,321.20

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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.