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Finding the Third Proportional to 32,256 and 47,232

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Solution

The third proportional to 32,256 and 47,232 is: 69,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,256 : 47,232 = 47,232 : x
  2. Step 2: Convert to fraction form
    32,256/47,232 = 47,232/x
  3. Step 3: Cross multiply
    32,256x = 47,232 × 47,232
  4. Step 4: Simplify right side
    32,256x = 2,230,861,824
  5. Step 5: Solve for x
    x = 2,230,861,824/32,256
  6. Step 6: Final answer
    x = 69,161.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.