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Finding the Third Proportional to 12,176 and 16,281

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Solution

The third proportional to 12,176 and 16,281 is: 21,769.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176 : 16,281 = 16,281 : x
  2. Step 2: Convert to fraction form
    12,176/16,281 = 16,281/x
  3. Step 3: Cross multiply
    12,176x = 16,281 × 16,281
  4. Step 4: Simplify right side
    12,176x = 265,070,961
  5. Step 5: Solve for x
    x = 265,070,961/12,176
  6. Step 6: Final answer
    x = 21,769.95

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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.