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Finding the Third Proportional to 19,408 and 41,906

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Solution

The third proportional to 19,408 and 41,906 is: 90,483.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,408 : 41,906 = 41,906 : x
  2. Step 2: Convert to fraction form
    19,408/41,906 = 41,906/x
  3. Step 3: Cross multiply
    19,408x = 41,906 × 41,906
  4. Step 4: Simplify right side
    19,408x = 1,756,112,836
  5. Step 5: Solve for x
    x = 1,756,112,836/19,408
  6. Step 6: Final answer
    x = 90,483.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.