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Finding the Third Proportional to 12,616 and 26,048

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Solution

The third proportional to 12,616 and 26,048 is: 53,780.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616 : 26,048 = 26,048 : x
  2. Step 2: Convert to fraction form
    12,616/26,048 = 26,048/x
  3. Step 3: Cross multiply
    12,616x = 26,048 × 26,048
  4. Step 4: Simplify right side
    12,616x = 678,498,304
  5. Step 5: Solve for x
    x = 678,498,304/12,616
  6. Step 6: Final answer
    x = 53,780.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.