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Finding the Third Proportional to 11,592 and 18,663.75

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Solution

The third proportional to 11,592 and 18,663.75 is: 30,049.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592 : 18,663.75 = 18,663.75 : x
  2. Step 2: Convert to fraction form
    11,592/18,663.75 = 18,663.75/x
  3. Step 3: Cross multiply
    11,592x = 18,663.75 × 18,663.75
  4. Step 4: Simplify right side
    11,592x = 348,335,564.06
  5. Step 5: Solve for x
    x = 348,335,564.06/11,592
  6. Step 6: Final answer
    x = 30,049.65

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.