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Finding the Third Proportional to 2,174 and 2,489

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Solution

The third proportional to 2,174 and 2,489 is: 2,849.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174 : 2,489 = 2,489 : x
  2. Step 2: Convert to fraction form
    2,174/2,489 = 2,489/x
  3. Step 3: Cross multiply
    2,174x = 2,489 × 2,489
  4. Step 4: Simplify right side
    2,174x = 6,195,121
  5. Step 5: Solve for x
    x = 6,195,121/2,174
  6. Step 6: Final answer
    x = 2,849.64

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.