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Finding the Third Proportional to 12,780 and 18,664

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Solution

The third proportional to 12,780 and 18,664 is: 27,257.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780 : 18,664 = 18,664 : x
  2. Step 2: Convert to fraction form
    12,780/18,664 = 18,664/x
  3. Step 3: Cross multiply
    12,780x = 18,664 × 18,664
  4. Step 4: Simplify right side
    12,780x = 348,344,896
  5. Step 5: Solve for x
    x = 348,344,896/12,780
  6. Step 6: Final answer
    x = 27,257.03

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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.