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Finding the Third Proportional to 1,174 and 2,701

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Solution

The third proportional to 1,174 and 2,701 is: 6,214.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174 : 2,701 = 2,701 : x
  2. Step 2: Convert to fraction form
    1,174/2,701 = 2,701/x
  3. Step 3: Cross multiply
    1,174x = 2,701 × 2,701
  4. Step 4: Simplify right side
    1,174x = 7,295,401
  5. Step 5: Solve for x
    x = 7,295,401/1,174
  6. Step 6: Final answer
    x = 6,214.14

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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.