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Finding the Third Proportional to 6,746 and 14,830

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Solution

The third proportional to 6,746 and 14,830 is: 32,601.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746 : 14,830 = 14,830 : x
  2. Step 2: Convert to fraction form
    6,746/14,830 = 14,830/x
  3. Step 3: Cross multiply
    6,746x = 14,830 × 14,830
  4. Step 4: Simplify right side
    6,746x = 219,928,900
  5. Step 5: Solve for x
    x = 219,928,900/6,746
  6. Step 6: Final answer
    x = 32,601.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.