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Finding the Third Proportional to 47,283 and 71,907

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Solution

The third proportional to 47,283 and 71,907 is: 109,354.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,283 : 71,907 = 71,907 : x
  2. Step 2: Convert to fraction form
    47,283/71,907 = 71,907/x
  3. Step 3: Cross multiply
    47,283x = 71,907 × 71,907
  4. Step 4: Simplify right side
    47,283x = 5,170,616,649
  5. Step 5: Solve for x
    x = 5,170,616,649/47,283
  6. Step 6: Final answer
    x = 109,354.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.