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Finding the Third Proportional to 23,337 and 35,174

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Solution

The third proportional to 23,337 and 35,174 is: 53,014.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,337 : 35,174 = 35,174 : x
  2. Step 2: Convert to fraction form
    23,337/35,174 = 35,174/x
  3. Step 3: Cross multiply
    23,337x = 35,174 × 35,174
  4. Step 4: Simplify right side
    23,337x = 1,237,210,276
  5. Step 5: Solve for x
    x = 1,237,210,276/23,337
  6. Step 6: Final answer
    x = 53,014.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.