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Finding the Third Proportional to 23,424 and 36,232

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Solution

The third proportional to 23,424 and 36,232 is: 56,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,424 : 36,232 = 36,232 : x
  2. Step 2: Convert to fraction form
    23,424/36,232 = 36,232/x
  3. Step 3: Cross multiply
    23,424x = 36,232 × 36,232
  4. Step 4: Simplify right side
    23,424x = 1,312,757,824
  5. Step 5: Solve for x
    x = 1,312,757,824/23,424
  6. Step 6: Final answer
    x = 56,043.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.