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Finding the Third Proportional to 6,684 and 14,576

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Solution

The third proportional to 6,684 and 14,576 is: 31,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684 : 14,576 = 14,576 : x
  2. Step 2: Convert to fraction form
    6,684/14,576 = 14,576/x
  3. Step 3: Cross multiply
    6,684x = 14,576 × 14,576
  4. Step 4: Simplify right side
    6,684x = 212,459,776
  5. Step 5: Solve for x
    x = 212,459,776/6,684
  6. Step 6: Final answer
    x = 31,786.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.