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Finding the Third Proportional to 33,812.36 and 52,564.29

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Solution

The third proportional to 33,812.36 and 52,564.29 is: 81,715.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812.36 : 52,564.29 = 52,564.29 : x
  2. Step 2: Convert to fraction form
    33,812.36/52,564.29 = 52,564.29/x
  3. Step 3: Cross multiply
    33,812.36x = 52,564.29 × 52,564.29
  4. Step 4: Simplify right side
    33,812.36x = 2,763,004,946.64
  5. Step 5: Solve for x
    x = 2,763,004,946.64/33,812.36
  6. Step 6: Final answer
    x = 81,715.83

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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.