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Finding the Third Proportional to 10,174 and 21,554

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Solution

The third proportional to 10,174 and 21,554 is: 45,662.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,174 : 21,554 = 21,554 : x
  2. Step 2: Convert to fraction form
    10,174/21,554 = 21,554/x
  3. Step 3: Cross multiply
    10,174x = 21,554 × 21,554
  4. Step 4: Simplify right side
    10,174x = 464,574,916
  5. Step 5: Solve for x
    x = 464,574,916/10,174
  6. Step 6: Final answer
    x = 45,662.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.