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Finding the Third Proportional to 12,680 and 18,538

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Solution

The third proportional to 12,680 and 18,538 is: 27,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680 : 18,538 = 18,538 : x
  2. Step 2: Convert to fraction form
    12,680/18,538 = 18,538/x
  3. Step 3: Cross multiply
    12,680x = 18,538 × 18,538
  4. Step 4: Simplify right side
    12,680x = 343,657,444
  5. Step 5: Solve for x
    x = 343,657,444/12,680
  6. Step 6: Final answer
    x = 27,102.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.