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Finding the Third Proportional to 9,824 and 16,112

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Solution

The third proportional to 9,824 and 16,112 is: 26,424.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824 : 16,112 = 16,112 : x
  2. Step 2: Convert to fraction form
    9,824/16,112 = 16,112/x
  3. Step 3: Cross multiply
    9,824x = 16,112 × 16,112
  4. Step 4: Simplify right side
    9,824x = 259,596,544
  5. Step 5: Solve for x
    x = 259,596,544/9,824
  6. Step 6: Final answer
    x = 26,424.73

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.