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Finding the Third Proportional to 8,144.30 and 17,228.32

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Solution

The third proportional to 8,144.30 and 17,228.32 is: 36,444.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.30 : 17,228.32 = 17,228.32 : x
  2. Step 2: Convert to fraction form
    8,144.30/17,228.32 = 17,228.32/x
  3. Step 3: Cross multiply
    8,144.30x = 17,228.32 × 17,228.32
  4. Step 4: Simplify right side
    8,144.30x = 296,815,020.79
  5. Step 5: Solve for x
    x = 296,815,020.79/8,144.30
  6. Step 6: Final answer
    x = 36,444.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.