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Finding the Third Proportional to 2,396.30 and 5,228.30

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Solution

The third proportional to 2,396.30 and 5,228.30 is: 11,407.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.30 : 5,228.30 = 5,228.30 : x
  2. Step 2: Convert to fraction form
    2,396.30/5,228.30 = 5,228.30/x
  3. Step 3: Cross multiply
    2,396.30x = 5,228.30 × 5,228.30
  4. Step 4: Simplify right side
    2,396.30x = 27,335,088.21
  5. Step 5: Solve for x
    x = 27,335,088.21/2,396.30
  6. Step 6: Final answer
    x = 11,407.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.