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Finding the Third Proportional to 34,133.91 and 52,998.05

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Solution

The third proportional to 34,133.91 and 52,998.05 is: 82,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,133.91 : 52,998.05 = 52,998.05 : x
  2. Step 2: Convert to fraction form
    34,133.91/52,998.05 = 52,998.05/x
  3. Step 3: Cross multiply
    34,133.91x = 52,998.05 × 52,998.05
  4. Step 4: Simplify right side
    34,133.91x = 2,808,792,972.56
  5. Step 5: Solve for x
    x = 2,808,792,972.56/34,133.91
  6. Step 6: Final answer
    x = 82,287.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.