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Finding the Third Proportional to 14,734 and 21,814

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Solution

The third proportional to 14,734 and 21,814 is: 32,296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734 : 21,814 = 21,814 : x
  2. Step 2: Convert to fraction form
    14,734/21,814 = 21,814/x
  3. Step 3: Cross multiply
    14,734x = 21,814 × 21,814
  4. Step 4: Simplify right side
    14,734x = 475,850,596
  5. Step 5: Solve for x
    x = 475,850,596/14,734
  6. Step 6: Final answer
    x = 32,296.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.