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Finding the Third Proportional to 13,122 and 19,195

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Solution

The third proportional to 13,122 and 19,195 is: 28,078.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,122 : 19,195 = 19,195 : x
  2. Step 2: Convert to fraction form
    13,122/19,195 = 19,195/x
  3. Step 3: Cross multiply
    13,122x = 19,195 × 19,195
  4. Step 4: Simplify right side
    13,122x = 368,448,025
  5. Step 5: Solve for x
    x = 368,448,025/13,122
  6. Step 6: Final answer
    x = 28,078.65

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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.