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Finding the Third Proportional to 8,936.30 and 17,648.16

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Solution

The third proportional to 8,936.30 and 17,648.16 is: 34,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.30 : 17,648.16 = 17,648.16 : x
  2. Step 2: Convert to fraction form
    8,936.30/17,648.16 = 17,648.16/x
  3. Step 3: Cross multiply
    8,936.30x = 17,648.16 × 17,648.16
  4. Step 4: Simplify right side
    8,936.30x = 311,457,419.02
  5. Step 5: Solve for x
    x = 311,457,419.02/8,936.30
  6. Step 6: Final answer
    x = 34,853.07

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.