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Finding the Third Proportional to 12,231 and 19,095.75

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Solution

The third proportional to 12,231 and 19,095.75 is: 29,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,231 : 19,095.75 = 19,095.75 : x
  2. Step 2: Convert to fraction form
    12,231/19,095.75 = 19,095.75/x
  3. Step 3: Cross multiply
    12,231x = 19,095.75 × 19,095.75
  4. Step 4: Simplify right side
    12,231x = 364,647,668.06
  5. Step 5: Solve for x
    x = 364,647,668.06/12,231
  6. Step 6: Final answer
    x = 29,813.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.