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Finding the Third Proportional to 11,781.70 and 16,793.58

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Solution

The third proportional to 11,781.70 and 16,793.58 is: 23,937.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,781.70 : 16,793.58 = 16,793.58 : x
  2. Step 2: Convert to fraction form
    11,781.70/16,793.58 = 16,793.58/x
  3. Step 3: Cross multiply
    11,781.70x = 16,793.58 × 16,793.58
  4. Step 4: Simplify right side
    11,781.70x = 282,024,266.24
  5. Step 5: Solve for x
    x = 282,024,266.24/11,781.70
  6. Step 6: Final answer
    x = 23,937.48

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.