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Finding the Third Proportional to 34,331.50 and 53,131

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Solution

The third proportional to 34,331.50 and 53,131 is: 82,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,331.50 : 53,131 = 53,131 : x
  2. Step 2: Convert to fraction form
    34,331.50/53,131 = 53,131/x
  3. Step 3: Cross multiply
    34,331.50x = 53,131 × 53,131
  4. Step 4: Simplify right side
    34,331.50x = 2,822,903,161
  5. Step 5: Solve for x
    x = 2,822,903,161/34,331.50
  6. Step 6: Final answer
    x = 82,224.87

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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.