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Finding the Third Proportional to 35,056 and 50,082

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Solution

The third proportional to 35,056 and 50,082 is: 71,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,056 : 50,082 = 50,082 : x
  2. Step 2: Convert to fraction form
    35,056/50,082 = 50,082/x
  3. Step 3: Cross multiply
    35,056x = 50,082 × 50,082
  4. Step 4: Simplify right side
    35,056x = 2,508,206,724
  5. Step 5: Solve for x
    x = 2,508,206,724/35,056
  6. Step 6: Final answer
    x = 71,548.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.