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Finding the Third Proportional to 9,284.06 and 20,047.59

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Solution

The third proportional to 9,284.06 and 20,047.59 is: 43,289.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.06 : 20,047.59 = 20,047.59 : x
  2. Step 2: Convert to fraction form
    9,284.06/20,047.59 = 20,047.59/x
  3. Step 3: Cross multiply
    9,284.06x = 20,047.59 × 20,047.59
  4. Step 4: Simplify right side
    9,284.06x = 401,906,015.17
  5. Step 5: Solve for x
    x = 401,906,015.17/9,284.06
  6. Step 6: Final answer
    x = 43,289.89

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