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Finding the Third Proportional to 14,169 and 27,986

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Solution

The third proportional to 14,169 and 27,986 is: 55,276.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,169 : 27,986 = 27,986 : x
  2. Step 2: Convert to fraction form
    14,169/27,986 = 27,986/x
  3. Step 3: Cross multiply
    14,169x = 27,986 × 27,986
  4. Step 4: Simplify right side
    14,169x = 783,216,196
  5. Step 5: Solve for x
    x = 783,216,196/14,169
  6. Step 6: Final answer
    x = 55,276.74

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.