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Finding the Third Proportional to 16,453.13 and 35,533.05

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Solution

The third proportional to 16,453.13 and 35,533.05 is: 76,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,453.13 : 35,533.05 = 35,533.05 : x
  2. Step 2: Convert to fraction form
    16,453.13/35,533.05 = 35,533.05/x
  3. Step 3: Cross multiply
    16,453.13x = 35,533.05 × 35,533.05
  4. Step 4: Simplify right side
    16,453.13x = 1,262,597,975.42
  5. Step 5: Solve for x
    x = 1,262,597,975.42/16,453.13
  6. Step 6: Final answer
    x = 76,739.10

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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.