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Finding the Third Proportional to 2,467.49 and 5,282.40

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Solution

The third proportional to 2,467.49 and 5,282.40 is: 11,308.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.49 : 5,282.40 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    2,467.49/5,282.40 = 5,282.40/x
  3. Step 3: Cross multiply
    2,467.49x = 5,282.40 × 5,282.40
  4. Step 4: Simplify right side
    2,467.49x = 27,903,774.52
  5. Step 5: Solve for x
    x = 27,903,774.52/2,467.49
  6. Step 6: Final answer
    x = 11,308.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.