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Finding the Third Proportional to 12,341 and 13,273

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Solution

The third proportional to 12,341 and 13,273 is: 14,275.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,341 : 13,273 = 13,273 : x
  2. Step 2: Convert to fraction form
    12,341/13,273 = 13,273/x
  3. Step 3: Cross multiply
    12,341x = 13,273 × 13,273
  4. Step 4: Simplify right side
    12,341x = 176,172,529
  5. Step 5: Solve for x
    x = 176,172,529/12,341
  6. Step 6: Final answer
    x = 14,275.39

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.