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Finding the Third Proportional to 2,490.19 and 5,392.69

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Solution

The third proportional to 2,490.19 and 5,392.69 is: 11,678.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,490.19 : 5,392.69 = 5,392.69 : x
  2. Step 2: Convert to fraction form
    2,490.19/5,392.69 = 5,392.69/x
  3. Step 3: Cross multiply
    2,490.19x = 5,392.69 × 5,392.69
  4. Step 4: Simplify right side
    2,490.19x = 29,081,078.47
  5. Step 5: Solve for x
    x = 29,081,078.47/2,490.19
  6. Step 6: Final answer
    x = 11,678.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.