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Finding the Third Proportional to 30,867 and 47,583

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Solution

The third proportional to 30,867 and 47,583 is: 73,351.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867 : 47,583 = 47,583 : x
  2. Step 2: Convert to fraction form
    30,867/47,583 = 47,583/x
  3. Step 3: Cross multiply
    30,867x = 47,583 × 47,583
  4. Step 4: Simplify right side
    30,867x = 2,264,141,889
  5. Step 5: Solve for x
    x = 2,264,141,889/30,867
  6. Step 6: Final answer
    x = 73,351.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.