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Finding the Third Proportional to 6,508 and 8,460

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Solution

The third proportional to 6,508 and 8,460 is: 10,997.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 8,460 = 8,460 : x
  2. Step 2: Convert to fraction form
    6,508/8,460 = 8,460/x
  3. Step 3: Cross multiply
    6,508x = 8,460 × 8,460
  4. Step 4: Simplify right side
    6,508x = 71,571,600
  5. Step 5: Solve for x
    x = 71,571,600/6,508
  6. Step 6: Final answer
    x = 10,997.48

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.