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Finding the Third Proportional to 16,102.13 and 32,659.03

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Solution

The third proportional to 16,102.13 and 32,659.03 is: 66,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102.13 : 32,659.03 = 32,659.03 : x
  2. Step 2: Convert to fraction form
    16,102.13/32,659.03 = 32,659.03/x
  3. Step 3: Cross multiply
    16,102.13x = 32,659.03 × 32,659.03
  4. Step 4: Simplify right side
    16,102.13x = 1,066,612,322.19
  5. Step 5: Solve for x
    x = 1,066,612,322.19/16,102.13
  6. Step 6: Final answer
    x = 66,240.47

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.