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Finding the Third Proportional to 3,022.13 and 6,232.13

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Solution

The third proportional to 3,022.13 and 6,232.13 is: 12,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,022.13 : 6,232.13 = 6,232.13 : x
  2. Step 2: Convert to fraction form
    3,022.13/6,232.13 = 6,232.13/x
  3. Step 3: Cross multiply
    3,022.13x = 6,232.13 × 6,232.13
  4. Step 4: Simplify right side
    3,022.13x = 38,839,382.02
  5. Step 5: Solve for x
    x = 38,839,382.02/3,022.13
  6. Step 6: Final answer
    x = 12,851.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.