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Finding the Third Proportional to 7,174 and 16,489

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Solution

The third proportional to 7,174 and 16,489 is: 37,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174 : 16,489 = 16,489 : x
  2. Step 2: Convert to fraction form
    7,174/16,489 = 16,489/x
  3. Step 3: Cross multiply
    7,174x = 16,489 × 16,489
  4. Step 4: Simplify right side
    7,174x = 271,887,121
  5. Step 5: Solve for x
    x = 271,887,121/7,174
  6. Step 6: Final answer
    x = 37,898.96

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.