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Finding the Third Proportional to 3,405.38 and 7,958.25

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Solution

The third proportional to 3,405.38 and 7,958.25 is: 18,598.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.38 : 7,958.25 = 7,958.25 : x
  2. Step 2: Convert to fraction form
    3,405.38/7,958.25 = 7,958.25/x
  3. Step 3: Cross multiply
    3,405.38x = 7,958.25 × 7,958.25
  4. Step 4: Simplify right side
    3,405.38x = 63,333,743.06
  5. Step 5: Solve for x
    x = 63,333,743.06/3,405.38
  6. Step 6: Final answer
    x = 18,598.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.