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Finding the Third Proportional to 4,717.13 and 9,996.19

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Solution

The third proportional to 4,717.13 and 9,996.19 is: 21,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.13 : 9,996.19 = 9,996.19 : x
  2. Step 2: Convert to fraction form
    4,717.13/9,996.19 = 9,996.19/x
  3. Step 3: Cross multiply
    4,717.13x = 9,996.19 × 9,996.19
  4. Step 4: Simplify right side
    4,717.13x = 99,923,764.54
  5. Step 5: Solve for x
    x = 99,923,764.54/4,717.13
  6. Step 6: Final answer
    x = 21,183.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.