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Finding the Third Proportional to 8,816.34 and 18,845.79

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Solution

The third proportional to 8,816.34 and 18,845.79 is: 40,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,816.34 : 18,845.79 = 18,845.79 : x
  2. Step 2: Convert to fraction form
    8,816.34/18,845.79 = 18,845.79/x
  3. Step 3: Cross multiply
    8,816.34x = 18,845.79 × 18,845.79
  4. Step 4: Simplify right side
    8,816.34x = 355,163,765.39
  5. Step 5: Solve for x
    x = 355,163,765.39/8,816.34
  6. Step 6: Final answer
    x = 40,284.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.