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Finding the Third Proportional to 12,814 and 28,172

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Solution

The third proportional to 12,814 and 28,172 is: 61,937.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814 : 28,172 = 28,172 : x
  2. Step 2: Convert to fraction form
    12,814/28,172 = 28,172/x
  3. Step 3: Cross multiply
    12,814x = 28,172 × 28,172
  4. Step 4: Simplify right side
    12,814x = 793,661,584
  5. Step 5: Solve for x
    x = 793,661,584/12,814
  6. Step 6: Final answer
    x = 61,937.07

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