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Finding the Third Proportional to 7,404.38 and 17,479.39

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Solution

The third proportional to 7,404.38 and 17,479.39 is: 41,263.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,404.38 : 17,479.39 = 17,479.39 : x
  2. Step 2: Convert to fraction form
    7,404.38/17,479.39 = 17,479.39/x
  3. Step 3: Cross multiply
    7,404.38x = 17,479.39 × 17,479.39
  4. Step 4: Simplify right side
    7,404.38x = 305,529,028.34
  5. Step 5: Solve for x
    x = 305,529,028.34/7,404.38
  6. Step 6: Final answer
    x = 41,263.28

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.