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Finding the Third Proportional to 37,247 and 47,823

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Solution

The third proportional to 37,247 and 47,823 is: 61,401.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,247 : 47,823 = 47,823 : x
  2. Step 2: Convert to fraction form
    37,247/47,823 = 47,823/x
  3. Step 3: Cross multiply
    37,247x = 47,823 × 47,823
  4. Step 4: Simplify right side
    37,247x = 2,287,039,329
  5. Step 5: Solve for x
    x = 2,287,039,329/37,247
  6. Step 6: Final answer
    x = 61,401.97

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.