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Finding the Third Proportional to 34,633.20 and 75,835.93

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Solution

The third proportional to 34,633.20 and 75,835.93 is: 166,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,633.20 : 75,835.93 = 75,835.93 : x
  2. Step 2: Convert to fraction form
    34,633.20/75,835.93 = 75,835.93/x
  3. Step 3: Cross multiply
    34,633.20x = 75,835.93 × 75,835.93
  4. Step 4: Simplify right side
    34,633.20x = 5,751,088,824.04
  5. Step 5: Solve for x
    x = 5,751,088,824.04/34,633.20
  6. Step 6: Final answer
    x = 166,057.12

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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.