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Finding the Third Proportional to 11,780.44 and 15,483.66

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Solution

The third proportional to 11,780.44 and 15,483.66 is: 20,350.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.44 : 15,483.66 = 15,483.66 : x
  2. Step 2: Convert to fraction form
    11,780.44/15,483.66 = 15,483.66/x
  3. Step 3: Cross multiply
    11,780.44x = 15,483.66 × 15,483.66
  4. Step 4: Simplify right side
    11,780.44x = 239,743,610.87
  5. Step 5: Solve for x
    x = 239,743,610.87/11,780.44
  6. Step 6: Final answer
    x = 20,350.99

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.