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Finding the Third Proportional to 12,653.25 and 18,519.75

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Solution

The third proportional to 12,653.25 and 18,519.75 is: 27,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,653.25 : 18,519.75 = 18,519.75 : x
  2. Step 2: Convert to fraction form
    12,653.25/18,519.75 = 18,519.75/x
  3. Step 3: Cross multiply
    12,653.25x = 18,519.75 × 18,519.75
  4. Step 4: Simplify right side
    12,653.25x = 342,981,140.06
  5. Step 5: Solve for x
    x = 342,981,140.06/12,653.25
  6. Step 6: Final answer
    x = 27,106.17

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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.