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Finding the Third Proportional to 6,550 and 12,794

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Solution

The third proportional to 6,550 and 12,794 is: 24,990.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,550 : 12,794 = 12,794 : x
  2. Step 2: Convert to fraction form
    6,550/12,794 = 12,794/x
  3. Step 3: Cross multiply
    6,550x = 12,794 × 12,794
  4. Step 4: Simplify right side
    6,550x = 163,686,436
  5. Step 5: Solve for x
    x = 163,686,436/6,550
  6. Step 6: Final answer
    x = 24,990.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.