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Finding the Third Proportional to 6,174 and 12,660

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Solution

The third proportional to 6,174 and 12,660 is: 25,959.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174 : 12,660 = 12,660 : x
  2. Step 2: Convert to fraction form
    6,174/12,660 = 12,660/x
  3. Step 3: Cross multiply
    6,174x = 12,660 × 12,660
  4. Step 4: Simplify right side
    6,174x = 160,275,600
  5. Step 5: Solve for x
    x = 160,275,600/6,174
  6. Step 6: Final answer
    x = 25,959.77

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.