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Finding the Third Proportional to 9,809.25 and 20,140.13

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Solution

The third proportional to 9,809.25 and 20,140.13 is: 41,351.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.25 : 20,140.13 = 20,140.13 : x
  2. Step 2: Convert to fraction form
    9,809.25/20,140.13 = 20,140.13/x
  3. Step 3: Cross multiply
    9,809.25x = 20,140.13 × 20,140.13
  4. Step 4: Simplify right side
    9,809.25x = 405,624,635.02
  5. Step 5: Solve for x
    x = 405,624,635.02/9,809.25
  6. Step 6: Final answer
    x = 41,351.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.