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Finding the Third Proportional to 19,664 and 41,232

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Solution

The third proportional to 19,664 and 41,232 is: 86,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664 : 41,232 = 41,232 : x
  2. Step 2: Convert to fraction form
    19,664/41,232 = 41,232/x
  3. Step 3: Cross multiply
    19,664x = 41,232 × 41,232
  4. Step 4: Simplify right side
    19,664x = 1,700,077,824
  5. Step 5: Solve for x
    x = 1,700,077,824/19,664
  6. Step 6: Final answer
    x = 86,456.36

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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.