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Finding the Third Proportional to 22,047.56 and 48,484.69

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Solution

The third proportional to 22,047.56 and 48,484.69 is: 106,622.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,047.56 : 48,484.69 = 48,484.69 : x
  2. Step 2: Convert to fraction form
    22,047.56/48,484.69 = 48,484.69/x
  3. Step 3: Cross multiply
    22,047.56x = 48,484.69 × 48,484.69
  4. Step 4: Simplify right side
    22,047.56x = 2,350,764,921.97
  5. Step 5: Solve for x
    x = 2,350,764,921.97/22,047.56
  6. Step 6: Final answer
    x = 106,622.44

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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.