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Finding the Third Proportional to 35,247 and 73,953

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Solution

The third proportional to 35,247 and 73,953 is: 155,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,247 : 73,953 = 73,953 : x
  2. Step 2: Convert to fraction form
    35,247/73,953 = 73,953/x
  3. Step 3: Cross multiply
    35,247x = 73,953 × 73,953
  4. Step 4: Simplify right side
    35,247x = 5,469,046,209
  5. Step 5: Solve for x
    x = 5,469,046,209/35,247
  6. Step 6: Final answer
    x = 155,163.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.