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Finding the Third Proportional to 13,846 and 16,276

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Solution

The third proportional to 13,846 and 16,276 is: 19,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846 : 16,276 = 16,276 : x
  2. Step 2: Convert to fraction form
    13,846/16,276 = 16,276/x
  3. Step 3: Cross multiply
    13,846x = 16,276 × 16,276
  4. Step 4: Simplify right side
    13,846x = 264,908,176
  5. Step 5: Solve for x
    x = 264,908,176/13,846
  6. Step 6: Final answer
    x = 19,132.47

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.