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Finding the Third Proportional to 1,916 and 4,625

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Solution

The third proportional to 1,916 and 4,625 is: 11,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916 : 4,625 = 4,625 : x
  2. Step 2: Convert to fraction form
    1,916/4,625 = 4,625/x
  3. Step 3: Cross multiply
    1,916x = 4,625 × 4,625
  4. Step 4: Simplify right side
    1,916x = 21,390,625
  5. Step 5: Solve for x
    x = 21,390,625/1,916
  6. Step 6: Final answer
    x = 11,164.21

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.