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Finding the Third Proportional to 2,105 and 4,773

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Solution

The third proportional to 2,105 and 4,773 is: 10,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105 : 4,773 = 4,773 : x
  2. Step 2: Convert to fraction form
    2,105/4,773 = 4,773/x
  3. Step 3: Cross multiply
    2,105x = 4,773 × 4,773
  4. Step 4: Simplify right side
    2,105x = 22,781,529
  5. Step 5: Solve for x
    x = 22,781,529/2,105
  6. Step 6: Final answer
    x = 10,822.58

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.