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Finding the Third Proportional to 16,021.13 and 33,652.13

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Solution

The third proportional to 16,021.13 and 33,652.13 is: 70,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021.13 : 33,652.13 = 33,652.13 : x
  2. Step 2: Convert to fraction form
    16,021.13/33,652.13 = 33,652.13/x
  3. Step 3: Cross multiply
    16,021.13x = 33,652.13 × 33,652.13
  4. Step 4: Simplify right side
    16,021.13x = 1,132,465,517.02
  5. Step 5: Solve for x
    x = 1,132,465,517.02/16,021.13
  6. Step 6: Final answer
    x = 70,685.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.