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Finding the Third Proportional to 22,268 and 47,036

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Solution

The third proportional to 22,268 and 47,036 is: 99,352.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,268 : 47,036 = 47,036 : x
  2. Step 2: Convert to fraction form
    22,268/47,036 = 47,036/x
  3. Step 3: Cross multiply
    22,268x = 47,036 × 47,036
  4. Step 4: Simplify right side
    22,268x = 2,212,385,296
  5. Step 5: Solve for x
    x = 2,212,385,296/22,268
  6. Step 6: Final answer
    x = 99,352.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.