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Finding the Third Proportional to 23,133 and 32,755

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Solution

The third proportional to 23,133 and 32,755 is: 46,379.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,133 : 32,755 = 32,755 : x
  2. Step 2: Convert to fraction form
    23,133/32,755 = 32,755/x
  3. Step 3: Cross multiply
    23,133x = 32,755 × 32,755
  4. Step 4: Simplify right side
    23,133x = 1,072,890,025
  5. Step 5: Solve for x
    x = 1,072,890,025/23,133
  6. Step 6: Final answer
    x = 46,379.20

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.