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Finding the Third Proportional to 4,670 and 6,836

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Solution

The third proportional to 4,670 and 6,836 is: 10,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670 : 6,836 = 6,836 : x
  2. Step 2: Convert to fraction form
    4,670/6,836 = 6,836/x
  3. Step 3: Cross multiply
    4,670x = 6,836 × 6,836
  4. Step 4: Simplify right side
    4,670x = 46,730,896
  5. Step 5: Solve for x
    x = 46,730,896/4,670
  6. Step 6: Final answer
    x = 10,006.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.