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Finding the Third Proportional to 11,933.44 and 17,897.63

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Solution

The third proportional to 11,933.44 and 17,897.63 is: 26,842.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,933.44 : 17,897.63 = 17,897.63 : x
  2. Step 2: Convert to fraction form
    11,933.44/17,897.63 = 17,897.63/x
  3. Step 3: Cross multiply
    11,933.44x = 17,897.63 × 17,897.63
  4. Step 4: Simplify right side
    11,933.44x = 320,324,980.64
  5. Step 5: Solve for x
    x = 320,324,980.64/11,933.44
  6. Step 6: Final answer
    x = 26,842.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.