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Finding the Third Proportional to 9,294.75 and 19,546.31

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Solution

The third proportional to 9,294.75 and 19,546.31 is: 41,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.75 : 19,546.31 = 19,546.31 : x
  2. Step 2: Convert to fraction form
    9,294.75/19,546.31 = 19,546.31/x
  3. Step 3: Cross multiply
    9,294.75x = 19,546.31 × 19,546.31
  4. Step 4: Simplify right side
    9,294.75x = 382,058,332.35
  5. Step 5: Solve for x
    x = 382,058,332.35/9,294.75
  6. Step 6: Final answer
    x = 41,104.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.