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Finding the Third Proportional to 7,084 and 12,596

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Solution

The third proportional to 7,084 and 12,596 is: 22,396.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084 : 12,596 = 12,596 : x
  2. Step 2: Convert to fraction form
    7,084/12,596 = 12,596/x
  3. Step 3: Cross multiply
    7,084x = 12,596 × 12,596
  4. Step 4: Simplify right side
    7,084x = 158,659,216
  5. Step 5: Solve for x
    x = 158,659,216/7,084
  6. Step 6: Final answer
    x = 22,396.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.