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Finding the Third Proportional to 2,206 and 4,758

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Solution

The third proportional to 2,206 and 4,758 is: 10,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206 : 4,758 = 4,758 : x
  2. Step 2: Convert to fraction form
    2,206/4,758 = 4,758/x
  3. Step 3: Cross multiply
    2,206x = 4,758 × 4,758
  4. Step 4: Simplify right side
    2,206x = 22,638,564
  5. Step 5: Solve for x
    x = 22,638,564/2,206
  6. Step 6: Final answer
    x = 10,262.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.