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Finding the Third Proportional to 11,780.44 and 15,985.69

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Solution

The third proportional to 11,780.44 and 15,985.69 is: 21,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,780.44 : 15,985.69 = 15,985.69 : x
  2. Step 2: Convert to fraction form
    11,780.44/15,985.69 = 15,985.69/x
  3. Step 3: Cross multiply
    11,780.44x = 15,985.69 × 15,985.69
  4. Step 4: Simplify right side
    11,780.44x = 255,542,204.85
  5. Step 5: Solve for x
    x = 255,542,204.85/11,780.44
  6. Step 6: Final answer
    x = 21,692.08

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.