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Finding the Third Proportional to 6,180 and 8,460

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Solution

The third proportional to 6,180 and 8,460 is: 11,581.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180 : 8,460 = 8,460 : x
  2. Step 2: Convert to fraction form
    6,180/8,460 = 8,460/x
  3. Step 3: Cross multiply
    6,180x = 8,460 × 8,460
  4. Step 4: Simplify right side
    6,180x = 71,571,600
  5. Step 5: Solve for x
    x = 71,571,600/6,180
  6. Step 6: Final answer
    x = 11,581.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.