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Finding the Third Proportional to 12,884 and 18,342

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Solution

The third proportional to 12,884 and 18,342 is: 26,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884 : 18,342 = 18,342 : x
  2. Step 2: Convert to fraction form
    12,884/18,342 = 18,342/x
  3. Step 3: Cross multiply
    12,884x = 18,342 × 18,342
  4. Step 4: Simplify right side
    12,884x = 336,428,964
  5. Step 5: Solve for x
    x = 336,428,964/12,884
  6. Step 6: Final answer
    x = 26,112.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.