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Finding the Third Proportional to 3,409.88 and 7,342.13

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Solution

The third proportional to 3,409.88 and 7,342.13 is: 15,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.88 : 7,342.13 = 7,342.13 : x
  2. Step 2: Convert to fraction form
    3,409.88/7,342.13 = 7,342.13/x
  3. Step 3: Cross multiply
    3,409.88x = 7,342.13 × 7,342.13
  4. Step 4: Simplify right side
    3,409.88x = 53,906,799.52
  5. Step 5: Solve for x
    x = 53,906,799.52/3,409.88
  6. Step 6: Final answer
    x = 15,809.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.