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Finding the Third Proportional to 15,344 and 32,096

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Solution

The third proportional to 15,344 and 32,096 is: 67,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,344 : 32,096 = 32,096 : x
  2. Step 2: Convert to fraction form
    15,344/32,096 = 32,096/x
  3. Step 3: Cross multiply
    15,344x = 32,096 × 32,096
  4. Step 4: Simplify right side
    15,344x = 1,030,153,216
  5. Step 5: Solve for x
    x = 1,030,153,216/15,344
  6. Step 6: Final answer
    x = 67,137.20

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.