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Finding the Third Proportional to 22,284.75 and 48,942.94

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Solution

The third proportional to 22,284.75 and 48,942.94 is: 107,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.75 : 48,942.94 = 48,942.94 : x
  2. Step 2: Convert to fraction form
    22,284.75/48,942.94 = 48,942.94/x
  3. Step 3: Cross multiply
    22,284.75x = 48,942.94 × 48,942.94
  4. Step 4: Simplify right side
    22,284.75x = 2,395,411,131.13
  5. Step 5: Solve for x
    x = 2,395,411,131.13/22,284.75
  6. Step 6: Final answer
    x = 107,491.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.