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Finding the Third Proportional to 22,118.70 and 47,365.54

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Solution

The third proportional to 22,118.70 and 47,365.54 is: 101,429.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,118.70 : 47,365.54 = 47,365.54 : x
  2. Step 2: Convert to fraction form
    22,118.70/47,365.54 = 47,365.54/x
  3. Step 3: Cross multiply
    22,118.70x = 47,365.54 × 47,365.54
  4. Step 4: Simplify right side
    22,118.70x = 2,243,494,475.70
  5. Step 5: Solve for x
    x = 2,243,494,475.70/22,118.70
  6. Step 6: Final answer
    x = 101,429.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.