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Finding the Third Proportional to 22,325 and 49,114

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Solution

The third proportional to 22,325 and 49,114 is: 108,048.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325 : 49,114 = 49,114 : x
  2. Step 2: Convert to fraction form
    22,325/49,114 = 49,114/x
  3. Step 3: Cross multiply
    22,325x = 49,114 × 49,114
  4. Step 4: Simplify right side
    22,325x = 2,412,184,996
  5. Step 5: Solve for x
    x = 2,412,184,996/22,325
  6. Step 6: Final answer
    x = 108,048.60

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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.