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Finding the Third Proportional to 10,686.94 and 22,480.03

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Solution

The third proportional to 10,686.94 and 22,480.03 is: 47,286.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.94 : 22,480.03 = 22,480.03 : x
  2. Step 2: Convert to fraction form
    10,686.94/22,480.03 = 22,480.03/x
  3. Step 3: Cross multiply
    10,686.94x = 22,480.03 × 22,480.03
  4. Step 4: Simplify right side
    10,686.94x = 505,351,805.00
  5. Step 5: Solve for x
    x = 505,351,805.00/10,686.94
  6. Step 6: Final answer
    x = 47,286.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.