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Finding the Third Proportional to 8,224.03 and 17,847.84

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Solution

The third proportional to 8,224.03 and 17,847.84 is: 38,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.03 : 17,847.84 = 17,847.84 : x
  2. Step 2: Convert to fraction form
    8,224.03/17,847.84 = 17,847.84/x
  3. Step 3: Cross multiply
    8,224.03x = 17,847.84 × 17,847.84
  4. Step 4: Simplify right side
    8,224.03x = 318,545,526.52
  5. Step 5: Solve for x
    x = 318,545,526.52/8,224.03
  6. Step 6: Final answer
    x = 38,733.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.