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Finding the Third Proportional to 8,937.56 and 17,650.69

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Solution

The third proportional to 8,937.56 and 17,650.69 is: 34,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.56 : 17,650.69 = 17,650.69 : x
  2. Step 2: Convert to fraction form
    8,937.56/17,650.69 = 17,650.69/x
  3. Step 3: Cross multiply
    8,937.56x = 17,650.69 × 17,650.69
  4. Step 4: Simplify right side
    8,937.56x = 311,546,769.22
  5. Step 5: Solve for x
    x = 311,546,769.22/8,937.56
  6. Step 6: Final answer
    x = 34,858.14

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.