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Finding the Third Proportional to 22,619.25 and 49,688.44

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Solution

The third proportional to 22,619.25 and 49,688.44 is: 109,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,619.25 : 49,688.44 = 49,688.44 : x
  2. Step 2: Convert to fraction form
    22,619.25/49,688.44 = 49,688.44/x
  3. Step 3: Cross multiply
    22,619.25x = 49,688.44 × 49,688.44
  4. Step 4: Simplify right side
    22,619.25x = 2,468,940,821.19
  5. Step 5: Solve for x
    x = 2,468,940,821.19/22,619.25
  6. Step 6: Final answer
    x = 109,152.20

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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.