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Finding the Third Proportional to 4,996.69 and 10,749.66

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Solution

The third proportional to 4,996.69 and 10,749.66 is: 23,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.69 : 10,749.66 = 10,749.66 : x
  2. Step 2: Convert to fraction form
    4,996.69/10,749.66 = 10,749.66/x
  3. Step 3: Cross multiply
    4,996.69x = 10,749.66 × 10,749.66
  4. Step 4: Simplify right side
    4,996.69x = 115,555,109.49
  5. Step 5: Solve for x
    x = 115,555,109.49/4,996.69
  6. Step 6: Final answer
    x = 23,126.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.