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Finding the Third Proportional to 19,922 and 41,752

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Solution

The third proportional to 19,922 and 41,752 is: 87,502.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922 : 41,752 = 41,752 : x
  2. Step 2: Convert to fraction form
    19,922/41,752 = 41,752/x
  3. Step 3: Cross multiply
    19,922x = 41,752 × 41,752
  4. Step 4: Simplify right side
    19,922x = 1,743,229,504
  5. Step 5: Solve for x
    x = 1,743,229,504/19,922
  6. Step 6: Final answer
    x = 87,502.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.