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Finding the Third Proportional to 12,902.26 and 18,855.52

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Solution

The third proportional to 12,902.26 and 18,855.52 is: 27,555.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.26 : 18,855.52 = 18,855.52 : x
  2. Step 2: Convert to fraction form
    12,902.26/18,855.52 = 18,855.52/x
  3. Step 3: Cross multiply
    12,902.26x = 18,855.52 × 18,855.52
  4. Step 4: Simplify right side
    12,902.26x = 355,530,579.97
  5. Step 5: Solve for x
    x = 355,530,579.97/12,902.26
  6. Step 6: Final answer
    x = 27,555.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.