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Finding the Third Proportional to 2,828.13 and 6,202.94

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Solution

The third proportional to 2,828.13 and 6,202.94 is: 13,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,828.13 : 6,202.94 = 6,202.94 : x
  2. Step 2: Convert to fraction form
    2,828.13/6,202.94 = 6,202.94/x
  3. Step 3: Cross multiply
    2,828.13x = 6,202.94 × 6,202.94
  4. Step 4: Simplify right side
    2,828.13x = 38,476,433.63
  5. Step 5: Solve for x
    x = 38,476,433.63/2,828.13
  6. Step 6: Final answer
    x = 13,604.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.