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Finding the Third Proportional to 19,338 and 41,205

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Solution

The third proportional to 19,338 and 41,205 is: 87,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,338 : 41,205 = 41,205 : x
  2. Step 2: Convert to fraction form
    19,338/41,205 = 41,205/x
  3. Step 3: Cross multiply
    19,338x = 41,205 × 41,205
  4. Step 4: Simplify right side
    19,338x = 1,697,852,025
  5. Step 5: Solve for x
    x = 1,697,852,025/19,338
  6. Step 6: Final answer
    x = 87,798.74

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.