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Finding the Third Proportional to 7,895.25 and 17,379.75

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Solution

The third proportional to 7,895.25 and 17,379.75 is: 38,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.25 : 17,379.75 = 17,379.75 : x
  2. Step 2: Convert to fraction form
    7,895.25/17,379.75 = 17,379.75/x
  3. Step 3: Cross multiply
    7,895.25x = 17,379.75 × 17,379.75
  4. Step 4: Simplify right side
    7,895.25x = 302,055,710.06
  5. Step 5: Solve for x
    x = 302,055,710.06/7,895.25
  6. Step 6: Final answer
    x = 38,257.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.