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Finding the Third Proportional to 4,112.02 and 9,004.92

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Solution

The third proportional to 4,112.02 and 9,004.92 is: 19,719.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,112.02 : 9,004.92 = 9,004.92 : x
  2. Step 2: Convert to fraction form
    4,112.02/9,004.92 = 9,004.92/x
  3. Step 3: Cross multiply
    4,112.02x = 9,004.92 × 9,004.92
  4. Step 4: Simplify right side
    4,112.02x = 81,088,617.97
  5. Step 5: Solve for x
    x = 81,088,617.97/4,112.02
  6. Step 6: Final answer
    x = 19,719.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.