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Finding the Third Proportional to 3,705 and 7,923

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Solution

The third proportional to 3,705 and 7,923 is: 16,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705 : 7,923 = 7,923 : x
  2. Step 2: Convert to fraction form
    3,705/7,923 = 7,923/x
  3. Step 3: Cross multiply
    3,705x = 7,923 × 7,923
  4. Step 4: Simplify right side
    3,705x = 62,773,929
  5. Step 5: Solve for x
    x = 62,773,929/3,705
  6. Step 6: Final answer
    x = 16,943.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.