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Finding the Third Proportional to 12,783 and 27,815

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Solution

The third proportional to 12,783 and 27,815 is: 60,523.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,783 : 27,815 = 27,815 : x
  2. Step 2: Convert to fraction form
    12,783/27,815 = 27,815/x
  3. Step 3: Cross multiply
    12,783x = 27,815 × 27,815
  4. Step 4: Simplify right side
    12,783x = 773,674,225
  5. Step 5: Solve for x
    x = 773,674,225/12,783
  6. Step 6: Final answer
    x = 60,523.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.