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Finding the Third Proportional to 19,321 and 41,247

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Solution

The third proportional to 19,321 and 41,247 is: 88,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,321 : 41,247 = 41,247 : x
  2. Step 2: Convert to fraction form
    19,321/41,247 = 41,247/x
  3. Step 3: Cross multiply
    19,321x = 41,247 × 41,247
  4. Step 4: Simplify right side
    19,321x = 1,701,315,009
  5. Step 5: Solve for x
    x = 1,701,315,009/19,321
  6. Step 6: Final answer
    x = 88,055.23

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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.