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Finding the Third Proportional to 19,212 and 41,705

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Solution

The third proportional to 19,212 and 41,705 is: 90,532.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,212 : 41,705 = 41,705 : x
  2. Step 2: Convert to fraction form
    19,212/41,705 = 41,705/x
  3. Step 3: Cross multiply
    19,212x = 41,705 × 41,705
  4. Step 4: Simplify right side
    19,212x = 1,739,307,025
  5. Step 5: Solve for x
    x = 1,739,307,025/19,212
  6. Step 6: Final answer
    x = 90,532.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.