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Finding the Third Proportional to 8,835.96 and 18,287.02

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Solution

The third proportional to 8,835.96 and 18,287.02 is: 37,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,835.96 : 18,287.02 = 18,287.02 : x
  2. Step 2: Convert to fraction form
    8,835.96/18,287.02 = 18,287.02/x
  3. Step 3: Cross multiply
    8,835.96x = 18,287.02 × 18,287.02
  4. Step 4: Simplify right side
    8,835.96x = 334,414,940.47
  5. Step 5: Solve for x
    x = 334,414,940.47/8,835.96
  6. Step 6: Final answer
    x = 37,847.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.