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Finding the Third Proportional to 2,174 and 4,543

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Solution

The third proportional to 2,174 and 4,543 is: 9,493.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 4,543 = 4,543 : x
  2. Step 2: Convert to fraction form
    2,174/4,543 = 4,543/x
  3. Step 3: Cross multiply
    2,174x = 4,543 × 4,543
  4. Step 4: Simplify right side
    2,174x = 20,638,849
  5. Step 5: Solve for x
    x = 20,638,849/2,174
  6. Step 6: Final answer
    x = 9,493.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.