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Finding the Third Proportional to 4,301.44 and 9,304.31

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Solution

The third proportional to 4,301.44 and 9,304.31 is: 20,125.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,301.44 : 9,304.31 = 9,304.31 : x
  2. Step 2: Convert to fraction form
    4,301.44/9,304.31 = 9,304.31/x
  3. Step 3: Cross multiply
    4,301.44x = 9,304.31 × 9,304.31
  4. Step 4: Simplify right side
    4,301.44x = 86,570,231.10
  5. Step 5: Solve for x
    x = 86,570,231.10/4,301.44
  6. Step 6: Final answer
    x = 20,125.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.