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Finding the Third Proportional to 32,972 and 50,550

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Solution

The third proportional to 32,972 and 50,550 is: 77,499.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,972 : 50,550 = 50,550 : x
  2. Step 2: Convert to fraction form
    32,972/50,550 = 50,550/x
  3. Step 3: Cross multiply
    32,972x = 50,550 × 50,550
  4. Step 4: Simplify right side
    32,972x = 2,555,302,500
  5. Step 5: Solve for x
    x = 2,555,302,500/32,972
  6. Step 6: Final answer
    x = 77,499.17

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.