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Finding the Third Proportional to 33,311.17 and 71,312.43

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Solution

The third proportional to 33,311.17 and 71,312.43 is: 152,665.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,311.17 : 71,312.43 = 71,312.43 : x
  2. Step 2: Convert to fraction form
    33,311.17/71,312.43 = 71,312.43/x
  3. Step 3: Cross multiply
    33,311.17x = 71,312.43 × 71,312.43
  4. Step 4: Simplify right side
    33,311.17x = 5,085,462,906.50
  5. Step 5: Solve for x
    x = 5,085,462,906.50/33,311.17
  6. Step 6: Final answer
    x = 152,665.39

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.