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Finding the Third Proportional to 12,675 and 28,265

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Solution

The third proportional to 12,675 and 28,265 is: 63,030.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675 : 28,265 = 28,265 : x
  2. Step 2: Convert to fraction form
    12,675/28,265 = 28,265/x
  3. Step 3: Cross multiply
    12,675x = 28,265 × 28,265
  4. Step 4: Simplify right side
    12,675x = 798,910,225
  5. Step 5: Solve for x
    x = 798,910,225/12,675
  6. Step 6: Final answer
    x = 63,030.39

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.