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Finding the Third Proportional to 9,565.03 and 20,287.97

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Solution

The third proportional to 9,565.03 and 20,287.97 is: 43,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.03 : 20,287.97 = 20,287.97 : x
  2. Step 2: Convert to fraction form
    9,565.03/20,287.97 = 20,287.97/x
  3. Step 3: Cross multiply
    9,565.03x = 20,287.97 × 20,287.97
  4. Step 4: Simplify right side
    9,565.03x = 411,601,676.00
  5. Step 5: Solve for x
    x = 411,601,676.00/9,565.03
  6. Step 6: Final answer
    x = 43,031.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.