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Finding the Third Proportional to 12,769 and 24,485

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Solution

The third proportional to 12,769 and 24,485 is: 46,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,769 : 24,485 = 24,485 : x
  2. Step 2: Convert to fraction form
    12,769/24,485 = 24,485/x
  3. Step 3: Cross multiply
    12,769x = 24,485 × 24,485
  4. Step 4: Simplify right side
    12,769x = 599,515,225
  5. Step 5: Solve for x
    x = 599,515,225/12,769
  6. Step 6: Final answer
    x = 46,950.84

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.