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Finding the Third Proportional to 30,244 and 47,022

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Solution

The third proportional to 30,244 and 47,022 is: 73,107.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,244 : 47,022 = 47,022 : x
  2. Step 2: Convert to fraction form
    30,244/47,022 = 47,022/x
  3. Step 3: Cross multiply
    30,244x = 47,022 × 47,022
  4. Step 4: Simplify right side
    30,244x = 2,211,068,484
  5. Step 5: Solve for x
    x = 2,211,068,484/30,244
  6. Step 6: Final answer
    x = 73,107.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.