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Finding the Third Proportional to 4,174 and 11,362

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Solution

The third proportional to 4,174 and 11,362 is: 30,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174 : 11,362 = 11,362 : x
  2. Step 2: Convert to fraction form
    4,174/11,362 = 11,362/x
  3. Step 3: Cross multiply
    4,174x = 11,362 × 11,362
  4. Step 4: Simplify right side
    4,174x = 129,095,044
  5. Step 5: Solve for x
    x = 129,095,044/4,174
  6. Step 6: Final answer
    x = 30,928.38

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.