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Finding the Third Proportional to 4,756 and 10,127

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Solution

The third proportional to 4,756 and 10,127 is: 21,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756 : 10,127 = 10,127 : x
  2. Step 2: Convert to fraction form
    4,756/10,127 = 10,127/x
  3. Step 3: Cross multiply
    4,756x = 10,127 × 10,127
  4. Step 4: Simplify right side
    4,756x = 102,556,129
  5. Step 5: Solve for x
    x = 102,556,129/4,756
  6. Step 6: Final answer
    x = 21,563.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.