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Finding the Third Proportional to 32,054 and 50,705

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Solution

The third proportional to 32,054 and 50,705 is: 80,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054 : 50,705 = 50,705 : x
  2. Step 2: Convert to fraction form
    32,054/50,705 = 50,705/x
  3. Step 3: Cross multiply
    32,054x = 50,705 × 50,705
  4. Step 4: Simplify right side
    32,054x = 2,570,997,025
  5. Step 5: Solve for x
    x = 2,570,997,025/32,054
  6. Step 6: Final answer
    x = 80,208.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.