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Finding the Third Proportional to 5,180 and 5,660

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Solution

The third proportional to 5,180 and 5,660 is: 6,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 5,660 = 5,660 : x
  2. Step 2: Convert to fraction form
    5,180/5,660 = 5,660/x
  3. Step 3: Cross multiply
    5,180x = 5,660 × 5,660
  4. Step 4: Simplify right side
    5,180x = 32,035,600
  5. Step 5: Solve for x
    x = 32,035,600/5,180
  6. Step 6: Final answer
    x = 6,184.48

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.