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Finding the Third Proportional to 8,020.13 and 19,321.13

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Solution

The third proportional to 8,020.13 and 19,321.13 is: 46,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,020.13 : 19,321.13 = 19,321.13 : x
  2. Step 2: Convert to fraction form
    8,020.13/19,321.13 = 19,321.13/x
  3. Step 3: Cross multiply
    8,020.13x = 19,321.13 × 19,321.13
  4. Step 4: Simplify right side
    8,020.13x = 373,305,871.27
  5. Step 5: Solve for x
    x = 373,305,871.27/8,020.13
  6. Step 6: Final answer
    x = 46,546.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.