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Finding the Third Proportional to 2,034 and 4,733

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Solution

The third proportional to 2,034 and 4,733 is: 11,013.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034 : 4,733 = 4,733 : x
  2. Step 2: Convert to fraction form
    2,034/4,733 = 4,733/x
  3. Step 3: Cross multiply
    2,034x = 4,733 × 4,733
  4. Step 4: Simplify right side
    2,034x = 22,401,289
  5. Step 5: Solve for x
    x = 22,401,289/2,034
  6. Step 6: Final answer
    x = 11,013.42

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.