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Finding the Third Proportional to 12,945 and 28,662

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Solution

The third proportional to 12,945 and 28,662 is: 63,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,945 : 28,662 = 28,662 : x
  2. Step 2: Convert to fraction form
    12,945/28,662 = 28,662/x
  3. Step 3: Cross multiply
    12,945x = 28,662 × 28,662
  4. Step 4: Simplify right side
    12,945x = 821,510,244
  5. Step 5: Solve for x
    x = 821,510,244/12,945
  6. Step 6: Final answer
    x = 63,461.59

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.