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Finding the Third Proportional to 19,125 and 41,020

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Solution

The third proportional to 19,125 and 41,020 is: 87,981.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,125 : 41,020 = 41,020 : x
  2. Step 2: Convert to fraction form
    19,125/41,020 = 41,020/x
  3. Step 3: Cross multiply
    19,125x = 41,020 × 41,020
  4. Step 4: Simplify right side
    19,125x = 1,682,640,400
  5. Step 5: Solve for x
    x = 1,682,640,400/19,125
  6. Step 6: Final answer
    x = 87,981.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.