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Finding the Third Proportional to 11,780.50 and 18,048.25

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Solution

The third proportional to 11,780.50 and 18,048.25 is: 27,650.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.50 : 18,048.25 = 18,048.25 : x
  2. Step 2: Convert to fraction form
    11,780.50/18,048.25 = 18,048.25/x
  3. Step 3: Cross multiply
    11,780.50x = 18,048.25 × 18,048.25
  4. Step 4: Simplify right side
    11,780.50x = 325,739,328.06
  5. Step 5: Solve for x
    x = 325,739,328.06/11,780.50
  6. Step 6: Final answer
    x = 27,650.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.