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Finding the Third Proportional to 15,520 and 32,064

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Solution

The third proportional to 15,520 and 32,064 is: 66,243.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,520 : 32,064 = 32,064 : x
  2. Step 2: Convert to fraction form
    15,520/32,064 = 32,064/x
  3. Step 3: Cross multiply
    15,520x = 32,064 × 32,064
  4. Step 4: Simplify right side
    15,520x = 1,028,100,096
  5. Step 5: Solve for x
    x = 1,028,100,096/15,520
  6. Step 6: Final answer
    x = 66,243.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.