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Finding the Third Proportional to 10,469.25 and 22,785.05

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Solution

The third proportional to 10,469.25 and 22,785.05 is: 49,588.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.25 : 22,785.05 = 22,785.05 : x
  2. Step 2: Convert to fraction form
    10,469.25/22,785.05 = 22,785.05/x
  3. Step 3: Cross multiply
    10,469.25x = 22,785.05 × 22,785.05
  4. Step 4: Simplify right side
    10,469.25x = 519,158,361.10
  5. Step 5: Solve for x
    x = 519,158,361.10/10,469.25
  6. Step 6: Final answer
    x = 49,588.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.