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Finding the Third Proportional to 7,958.38 and 17,446.94

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Solution

The third proportional to 7,958.38 and 17,446.94 is: 38,248.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,958.38 : 17,446.94 = 17,446.94 : x
  2. Step 2: Convert to fraction form
    7,958.38/17,446.94 = 17,446.94/x
  3. Step 3: Cross multiply
    7,958.38x = 17,446.94 × 17,446.94
  4. Step 4: Simplify right side
    7,958.38x = 304,395,628.13
  5. Step 5: Solve for x
    x = 304,395,628.13/7,958.38
  6. Step 6: Final answer
    x = 38,248.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.