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Finding the Third Proportional to 32,971 and 50,287

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Solution

The third proportional to 32,971 and 50,287 is: 76,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,971 : 50,287 = 50,287 : x
  2. Step 2: Convert to fraction form
    32,971/50,287 = 50,287/x
  3. Step 3: Cross multiply
    32,971x = 50,287 × 50,287
  4. Step 4: Simplify right side
    32,971x = 2,528,782,369
  5. Step 5: Solve for x
    x = 2,528,782,369/32,971
  6. Step 6: Final answer
    x = 76,697.17

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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.