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Finding the Third Proportional to 7,920 and 17,096

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Solution

The third proportional to 7,920 and 17,096 is: 36,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920 : 17,096 = 17,096 : x
  2. Step 2: Convert to fraction form
    7,920/17,096 = 17,096/x
  3. Step 3: Cross multiply
    7,920x = 17,096 × 17,096
  4. Step 4: Simplify right side
    7,920x = 292,273,216
  5. Step 5: Solve for x
    x = 292,273,216/7,920
  6. Step 6: Final answer
    x = 36,903.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.