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Finding the Third Proportional to 2,270 and 3,029

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Solution

The third proportional to 2,270 and 3,029 is: 4,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,029 = 3,029 : x
  2. Step 2: Convert to fraction form
    2,270/3,029 = 3,029/x
  3. Step 3: Cross multiply
    2,270x = 3,029 × 3,029
  4. Step 4: Simplify right side
    2,270x = 9,174,841
  5. Step 5: Solve for x
    x = 9,174,841/2,270
  6. Step 6: Final answer
    x = 4,041.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.