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Finding the Third Proportional to 35,347 and 54,965

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Solution

The third proportional to 35,347 and 54,965 is: 85,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,347 : 54,965 = 54,965 : x
  2. Step 2: Convert to fraction form
    35,347/54,965 = 54,965/x
  3. Step 3: Cross multiply
    35,347x = 54,965 × 54,965
  4. Step 4: Simplify right side
    35,347x = 3,021,151,225
  5. Step 5: Solve for x
    x = 3,021,151,225/35,347
  6. Step 6: Final answer
    x = 85,471.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.