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Finding the Third Proportional to 2,468.92 and 5,240.64

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Solution

The third proportional to 2,468.92 and 5,240.64 is: 11,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,468.92 : 5,240.64 = 5,240.64 : x
  2. Step 2: Convert to fraction form
    2,468.92/5,240.64 = 5,240.64/x
  3. Step 3: Cross multiply
    2,468.92x = 5,240.64 × 5,240.64
  4. Step 4: Simplify right side
    2,468.92x = 27,464,273.22
  5. Step 5: Solve for x
    x = 27,464,273.22/2,468.92
  6. Step 6: Final answer
    x = 11,124.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.