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Finding the Third Proportional to 4,301.44 and 9,266.06

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Solution

The third proportional to 4,301.44 and 9,266.06 is: 19,960.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.44 : 9,266.06 = 9,266.06 : x
  2. Step 2: Convert to fraction form
    4,301.44/9,266.06 = 9,266.06/x
  3. Step 3: Cross multiply
    4,301.44x = 9,266.06 × 9,266.06
  4. Step 4: Simplify right side
    4,301.44x = 85,859,914.25
  5. Step 5: Solve for x
    x = 85,859,914.25/4,301.44
  6. Step 6: Final answer
    x = 19,960.75

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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.