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Finding the Third Proportional to 19,071 and 29,174

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Solution

The third proportional to 19,071 and 29,174 is: 44,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,071 : 29,174 = 29,174 : x
  2. Step 2: Convert to fraction form
    19,071/29,174 = 29,174/x
  3. Step 3: Cross multiply
    19,071x = 29,174 × 29,174
  4. Step 4: Simplify right side
    19,071x = 851,122,276
  5. Step 5: Solve for x
    x = 851,122,276/19,071
  6. Step 6: Final answer
    x = 44,629.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.