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Finding the Third Proportional to 4,114 and 5,660

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Solution

The third proportional to 4,114 and 5,660 is: 7,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114 : 5,660 = 5,660 : x
  2. Step 2: Convert to fraction form
    4,114/5,660 = 5,660/x
  3. Step 3: Cross multiply
    4,114x = 5,660 × 5,660
  4. Step 4: Simplify right side
    4,114x = 32,035,600
  5. Step 5: Solve for x
    x = 32,035,600/4,114
  6. Step 6: Final answer
    x = 7,786.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.