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Finding the Third Proportional to 22,551.75 and 48,947.63

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Solution

The third proportional to 22,551.75 and 48,947.63 is: 106,238.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,551.75 : 48,947.63 = 48,947.63 : x
  2. Step 2: Convert to fraction form
    22,551.75/48,947.63 = 48,947.63/x
  3. Step 3: Cross multiply
    22,551.75x = 48,947.63 × 48,947.63
  4. Step 4: Simplify right side
    22,551.75x = 2,395,869,993.14
  5. Step 5: Solve for x
    x = 2,395,869,993.14/22,551.75
  6. Step 6: Final answer
    x = 106,238.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.