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Finding the Third Proportional to 12,705 and 27,923

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Solution

The third proportional to 12,705 and 27,923 is: 61,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 27,923 = 27,923 : x
  2. Step 2: Convert to fraction form
    12,705/27,923 = 27,923/x
  3. Step 3: Cross multiply
    12,705x = 27,923 × 27,923
  4. Step 4: Simplify right side
    12,705x = 779,693,929
  5. Step 5: Solve for x
    x = 779,693,929/12,705
  6. Step 6: Final answer
    x = 61,369.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.