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Finding the Third Proportional to 12,785 and 28,546

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Solution

The third proportional to 12,785 and 28,546 is: 63,736.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785 : 28,546 = 28,546 : x
  2. Step 2: Convert to fraction form
    12,785/28,546 = 28,546/x
  3. Step 3: Cross multiply
    12,785x = 28,546 × 28,546
  4. Step 4: Simplify right side
    12,785x = 814,874,116
  5. Step 5: Solve for x
    x = 814,874,116/12,785
  6. Step 6: Final answer
    x = 63,736.73

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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.