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Finding the Third Proportional to 4,756 and 10,628

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Solution

The third proportional to 4,756 and 10,628 is: 23,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756 : 10,628 = 10,628 : x
  2. Step 2: Convert to fraction form
    4,756/10,628 = 10,628/x
  3. Step 3: Cross multiply
    4,756x = 10,628 × 10,628
  4. Step 4: Simplify right side
    4,756x = 112,954,384
  5. Step 5: Solve for x
    x = 112,954,384/4,756
  6. Step 6: Final answer
    x = 23,749.87

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.