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Finding the Third Proportional to 7,964 and 16,096

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Solution

The third proportional to 7,964 and 16,096 is: 32,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,964 : 16,096 = 16,096 : x
  2. Step 2: Convert to fraction form
    7,964/16,096 = 16,096/x
  3. Step 3: Cross multiply
    7,964x = 16,096 × 16,096
  4. Step 4: Simplify right side
    7,964x = 259,081,216
  5. Step 5: Solve for x
    x = 259,081,216/7,964
  6. Step 6: Final answer
    x = 32,531.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.