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Finding the Third Proportional to 6,976 and 16,582

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Solution

The third proportional to 6,976 and 16,582 is: 39,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976 : 16,582 = 16,582 : x
  2. Step 2: Convert to fraction form
    6,976/16,582 = 16,582/x
  3. Step 3: Cross multiply
    6,976x = 16,582 × 16,582
  4. Step 4: Simplify right side
    6,976x = 274,962,724
  5. Step 5: Solve for x
    x = 274,962,724/6,976
  6. Step 6: Final answer
    x = 39,415.53

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.