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Finding the Third Proportional to 2,445.19 and 5,197.92

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Solution

The third proportional to 2,445.19 and 5,197.92 is: 11,049.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,445.19 : 5,197.92 = 5,197.92 : x
  2. Step 2: Convert to fraction form
    2,445.19/5,197.92 = 5,197.92/x
  3. Step 3: Cross multiply
    2,445.19x = 5,197.92 × 5,197.92
  4. Step 4: Simplify right side
    2,445.19x = 27,018,391.82
  5. Step 5: Solve for x
    x = 27,018,391.82/2,445.19
  6. Step 6: Final answer
    x = 11,049.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.