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Finding the Third Proportional to 12,172 and 16,276

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Solution

The third proportional to 12,172 and 16,276 is: 21,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,172 : 16,276 = 16,276 : x
  2. Step 2: Convert to fraction form
    12,172/16,276 = 16,276/x
  3. Step 3: Cross multiply
    12,172x = 16,276 × 16,276
  4. Step 4: Simplify right side
    12,172x = 264,908,176
  5. Step 5: Solve for x
    x = 264,908,176/12,172
  6. Step 6: Final answer
    x = 21,763.73

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.