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Finding the Third Proportional to 7,497.94 and 17,358.09

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Solution

The third proportional to 7,497.94 and 17,358.09 is: 40,184.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,497.94 : 17,358.09 = 17,358.09 : x
  2. Step 2: Convert to fraction form
    7,497.94/17,358.09 = 17,358.09/x
  3. Step 3: Cross multiply
    7,497.94x = 17,358.09 × 17,358.09
  4. Step 4: Simplify right side
    7,497.94x = 301,303,418.63
  5. Step 5: Solve for x
    x = 301,303,418.63/7,497.94
  6. Step 6: Final answer
    x = 40,184.84

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.