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Finding the Third Proportional to 8,322.54 and 17,913.76

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Solution

The third proportional to 8,322.54 and 17,913.76 is: 38,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.54 : 17,913.76 = 17,913.76 : x
  2. Step 2: Convert to fraction form
    8,322.54/17,913.76 = 17,913.76/x
  3. Step 3: Cross multiply
    8,322.54x = 17,913.76 × 17,913.76
  4. Step 4: Simplify right side
    8,322.54x = 320,902,858.92
  5. Step 5: Solve for x
    x = 320,902,858.92/8,322.54
  6. Step 6: Final answer
    x = 38,558.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.